718 Inconel Weight Calculator

718 Inconel Weight Calculator & Properties :root { –primary-color: #004a99; –success-color: #28a745; –background-color: #f8f9fa; –text-color: #333; –secondary-text-color: #666; –border-color: #ddd; –card-background: #fff; –shadow: 0 2px 5px rgba(0,0,0,0.1); –border-radius: 8px; } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: var(–background-color); color: var(–text-color); line-height: 1.6; margin: 0; padding: 0; display: flex; flex-direction: column; align-items: center; } .container { width: 100%; max-width: 980px; margin: 20px auto; padding: 20px; background-color: var(–card-background); border-radius: var(–border-radius); box-shadow: var(–shadow); display: flex; flex-direction: column; align-items: center; } h1, h2, h3 { color: var(–primary-color); text-align: center; margin-bottom: 1.5em; } h1 { font-size: 2.5em; } h2 { font-size: 1.8em; border-bottom: 2px solid var(–primary-color); padding-bottom: 0.5em; margin-top: 2em; } h3 { font-size: 1.4em; 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718 Inconel Weight Calculator

Easily calculate the weight of Inconel 718 components and understand its critical properties for aerospace, industrial, and high-temperature applications.

Inconel 718 Weight Calculator

Rod Tube Sheet Block Select the basic geometric shape of your Inconel 718 component.
Enter the diameter in millimeters (mm).
Enter the length in millimeters (mm).
Enter the outer diameter in millimeters (mm).
Enter the inner diameter in millimeters (mm).
Enter the length in millimeters (mm).
Enter the width in millimeters (mm).
Enter the length in millimeters (mm).
Enter the thickness in millimeters (mm).
Enter the width in millimeters (mm).
Enter the height in millimeters (mm).
Enter the length in millimeters (mm).
Enter the operating temperature in degrees Celsius (°C). Density varies slightly with temperature.

Calculation Results

— kg
Volume: — m³
Density: — kg/m³
Material: Inconel 718
Formula Used: Weight = Volume × Density
The volume is calculated based on the selected shape and dimensions, and the density is adjusted for the specified temperature.

Weight vs. Temperature for Inconel 718

See how Inconel 718 weight changes slightly with temperature, impacting its effective mass.
Inconel 718 Properties Table
Property Value (Approximate) Unit
Density at 20°C8190 – 8210kg/m³
Melting Point1260°C
Tensile Strength (Room Temp)~1200MPa
Yield Strength (Room Temp)~965MPa
Operating Temperature Range-252 to 704°C
Coefficient of Thermal Expansion (20-100°C)11.7µm/(m·°C)

What is a 718 Inconel Weight Calculator?

A 718 Inconel weight calculator is a specialized tool designed to accurately determine the mass of components manufactured from Inconel 718, a high-strength, corrosion-resistant nickel-chromium superalloy. This calculator simplifies the complex task of weight estimation, which is crucial for engineers, designers, and procurement specialists working with this advanced material. It takes into account the specific geometry of the component (such as rods, tubes, sheets, or blocks) and its dimensions, along with the material's density, which can vary slightly with temperature. Understanding the precise weight of Inconel 718 parts is essential for structural integrity calculations, shipping logistics, material cost analysis, and performance optimization in demanding environments.

Who should use it:

  • Aerospace Engineers: For designing aircraft, spacecraft, and jet engine components where weight and strength are paramount.
  • Mechanical Engineers: When specifying materials for high-temperature, high-pressure, or corrosive industrial applications like turbines, pumps, and valves.
  • Materials Scientists: For research and development involving Inconel 718 alloys.
  • Procurement Specialists: To accurately estimate material quantities and costs for manufacturing projects.
  • Project Managers: For budgeting, planning, and logistics related to projects utilizing Inconel 718.

Common misconceptions:

  • Density is Constant: Many assume the density of Inconel 718 is fixed. While it's relatively stable, it does exhibit a slight variation with temperature, which this calculator accounts for.
  • Weight is Solely Geometry: While shape and dimensions are primary, the specific grade and condition of the Inconel 718 can also influence density, though this calculator uses standard values.
  • Weight is Unimportant: In high-performance applications, even small weight differences matter for efficiency, fuel consumption (in aerospace), and overall system performance.

718 Inconel Weight Calculator Formula and Mathematical Explanation

The fundamental principle behind calculating the weight of any object is the relationship between its volume, density, and mass. For Inconel 718, this formula is expressed as:

Weight (Mass) = Volume × Density

Let's break down the variables and calculations:

Variable Explanations

Variable Meaning Unit Typical Range / Notes
VVolume of the Inconel 718 componentcubic meters (m³)Calculated based on shape and dimensions.
ρ (rho)Density of Inconel 718kilograms per cubic meter (kg/m³)Approximately 8190-8210 kg/m³ at room temperature. Varies slightly with temperature.
WWeight (Mass) of the componentkilograms (kg)The final calculated output.

Mathematical Derivation and Calculations

The calculator first determines the Volume (V) based on the selected shape:

  • Rod: $V = \pi \times (\frac{Diameter}{2})^2 \times Length$
  • Tube: $V = \pi \times (\frac{Outer Diameter^2 – Inner Diameter^2}{4}) \times Length$
  • Sheet: $V = Width \times Length \times Thickness$
  • Block: $V = Width \times Height \times Length$

All dimensions are converted to meters before volume calculation to ensure consistency in units (m³).

Next, it determines the Density (ρ). The density of Inconel 718 is approximately 8190 kg/m³ at room temperature (20°C). While density changes minimally with temperature for solids, this calculator uses a basic approximation that accounts for slight variations: a simplified linear interpolation or a standard value based on common temperature ranges. For instance, at 700°C, the density might slightly decrease.

Finally, it calculates the Weight (W):

$W = V \times \rho$

The result is displayed in kilograms (kg).

Practical Examples (Real-World Use Cases)

Example 1: Aerospace Turbine Blade

An engineer is designing a critical component for a jet engine turbine. The blade has a complex airfoil shape, but for initial weight estimation, it can be approximated as a rectangular block.

  • Shape: Block
  • Dimensions: Width = 50 mm (0.05 m), Height = 15 mm (0.015 m), Length = 120 mm (0.12 m)
  • Temperature: Operating temperature reaches 650°C.

Calculation Steps:

  1. Volume: V = 0.05 m × 0.015 m × 0.12 m = 0.00009 m³
  2. Density: At 650°C, the density of Inconel 718 is approximately 7950 kg/m³ (slightly lower than at room temp).
  3. Weight: W = 0.00009 m³ × 7950 kg/m³ = 0.7155 kg

Result Interpretation: The estimated weight of this turbine blade component is approximately 0.72 kg. This value is critical for calculating rotational forces, balancing the turbine assembly, and ensuring the overall engine efficiency and safety. Engineers will use this data alongside strength calculations to confirm material suitability.

Example 2: Industrial Fastener

A chemical processing plant requires a specialized bolt made from Inconel 718 for a high-pressure, corrosive environment.

  • Shape: Rod (approximating the bolt shaft and head)
  • Dimensions: Diameter = 25 mm (0.025 m), Length = 150 mm (0.15 m)
  • Temperature: Ambient operating temperature is 30°C.

Calculation Steps:

  1. Volume: V = π × (0.025 m / 2)² × 0.15 m = π × (0.0125 m)² × 0.15 m ≈ 0.00001837 m³
  2. Density: At 30°C, the density is very close to the standard room temperature value, approx. 8200 kg/m³.
  3. Weight: W = 0.00001837 m³ × 8200 kg/m³ ≈ 0.1506 kg

Result Interpretation: The estimated weight of the Inconel 718 bolt is about 0.15 kg. This weight calculation helps in determining the load capacity, torque requirements during installation, and the overall mass contribution to the piping system. It also aids in accurate material ordering and inventory management for such specialized components.

How to Use This 718 Inconel Weight Calculator

Using the 718 Inconel weight calculator is straightforward. Follow these steps to get your accurate weight calculation:

  1. Select Component Shape: Choose the basic geometric form that best represents your Inconel 718 part from the dropdown menu (Rod, Tube, Sheet, Block).
  2. Enter Dimensions: Input the relevant dimensions (e.g., diameter, length, width, thickness) in millimeters (mm) based on the selected shape. Ensure your measurements are accurate.
  3. Specify Temperature: Enter the expected operating temperature of the component in degrees Celsius (°C). This helps refine the density value used in the calculation.
  4. Calculate: Click the "Calculate Weight" button. The calculator will instantly process the inputs.

How to Read Results:

  • Total Weight (Primary Result): This is the main output, displayed prominently in kilograms (kg). It represents the estimated mass of your Inconel 718 component.
  • Volume: Shows the calculated volume of the material in cubic meters (m³).
  • Density: Displays the approximate density of Inconel 718 used for the calculation in kg/m³, adjusted for temperature.
  • Material: Confirms the material is Inconel 718.

Decision-Making Guidance:

  • Design Verification: Use the calculated weight to verify structural load limits and ensure compliance with design specifications.
  • Cost Estimation: Input the weight into material cost calculators or consult suppliers for accurate pricing.
  • Logistics Planning: The weight is essential for determining shipping costs, handling requirements, and packaging needs.
  • Performance Analysis: In dynamic systems (like rotating machinery), weight affects inertia, balance, and energy consumption.

Don't forget to use the "Reset" button to clear fields and start over, and the "Copy Results" button to easily transfer your findings.

Key Factors That Affect 718 Inconel Weight Results

While the calculator provides a reliable estimate, several real-world factors can influence the actual weight of an Inconel 718 component:

  1. Exact Material Composition: Although Inconel 718 has defined standards (e.g., UNS N07718), minor variations in alloying elements between manufacturers can lead to slight density differences. This calculator uses industry-standard density values.
  2. Manufacturing Tolerances: Real-world parts may deviate slightly from perfect geometric shapes due to manufacturing tolerances. Undersized parts will weigh less, while oversized parts will weigh more.
  3. Temperature Fluctuations: While the calculator accounts for temperature's effect on density, extreme or rapid temperature cycling can induce thermal stresses and potentially minor dimensional changes, affecting weight.
  4. Surface Treatments & Coatings: Applying coatings (like thermal barriers or protective layers) or surface treatments (like plating) will add mass to the component, increasing its total weight. These are not included in the basic calculation.
  5. Internal Defects: Microscopic voids, porosity, or inclusions within the material, though rare in quality-controlled Inconel 718, can reduce the overall density and thus the weight of a component.
  6. Machining Allowances: If the calculated weight is for a raw material stock shape (e.g., a block), the final machined part will weigh less after material is removed. Consider the finished dimensions for final weight.
  7. Specific Heat Treatment Condition: While density variations due to heat treatment are minimal, the mechanical properties (like strength) are significantly affected, which is often why Inconel 718 is chosen.

Frequently Asked Questions (FAQ)

What is the standard density of Inconel 718 used in calculations?
The standard density for Inconel 718 at room temperature (around 20°C) is approximately 8190 to 8210 kg/m³. This calculator uses a value within this range, adjusted slightly for temperature.
Does temperature significantly affect the weight of Inconel 718?
Temperature has a minor effect on the density of Inconel 718. While it expands slightly at higher temperatures (increasing volume and thus potentially weight if density remained constant), the density itself marginally decreases. The net effect on weight is usually small but accounted for in high-precision calculations, especially in aerospace applications.
Can I use this calculator for other Inconel grades?
This calculator is specifically calibrated for Inconel 718, using its typical density. Other Inconel grades (like 600, 625, 825) have different densities and properties. For other grades, a specific calculator or manual calculation using their respective densities would be necessary.
What are the main applications of Inconel 718?
Inconel 718 is widely used in demanding applications such as jet engine components (discs, blades, casings), rocket motores, high-performance aircraft structures, fasteners, springs, and tooling for oil and gas exploration due to its excellent mechanical strength, high-temperature resistance, and corrosion resistance.
How does Inconel 718 compare to Stainless Steel in terms of weight?
Inconel 718 is a nickel-based alloy, and its density (around 8200 kg/m³) is significantly higher than most stainless steels (typically 7700-8000 kg/m³). Therefore, for the same volume, an Inconel 718 component will be heavier than a stainless steel component.
Is the calculation in kilograms or pounds?
The calculator outputs the weight in kilograms (kg), which is the standard SI unit for mass.
What units should I use for the dimensions?
Please enter all dimensions (diameter, length, width, height, thickness) in millimeters (mm). The calculator will automatically convert them to meters for accurate volume calculation.
Can I calculate the weight of hollow or complex shapes?
This calculator supports basic shapes like rods, tubes, sheets, and blocks. For highly complex or custom shapes, you would typically use CAD software with material density applied or perform more detailed calculations based on breaking the shape into simpler geometric primitives.

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'red' : "; return !errorMessage; // Return true if valid, false otherwise } // — Shape Input Handling — function updateShapeInputs() { var selectedShape = shapeSelect.value; rodInputsDiv.style.display = 'none'; tubeInputsDiv.style.display = 'none'; sheetInputsDiv.style.display = 'none'; blockInputsDiv.style.display = 'none'; if (selectedShape === 'rod') { rodInputsDiv.style.display = 'block'; } else if (selectedShape === 'tube') { tubeInputsDiv.style.display = 'block'; } else if (selectedShape === 'sheet') { sheetInputsDiv.style.display = 'block'; } else if (selectedShape === 'block') { blockInputsDiv.style.display = 'block'; } calculateWeight(); // Recalculate after changing inputs } function updateVolumeAndDensity() { calculateWeight(); } // — Calculation Logic — function calculateWeight() { var shape = shapeSelect.value; var dimensions = {}; var isValid = true; // Clear previous errors clearErrors(); // Get dimensions based on shape and validate if (shape === 'rod') { var diameter = parseFloat(rodDiameterInput.value); var length = parseFloat(rodLengthInput.value); isValid = isValid && validateInput(diameter, rodDiameterInput, rodDiameterError, 0.1, Infinity, "Diameter"); isValid = isValid && validateInput(length, rodLengthInput, rodLengthError, 0.1, Infinity, "Length"); if (isValid) { dimensions = { diameter: diameter / 1000, length: length / 1000 }; // Convert mm to m } } else if (shape === 'tube') { var outerDiameter = parseFloat(tubeOuterDiameterInput.value); var innerDiameter = parseFloat(tubeInnerDiameterInput.value); var length = parseFloat(tubeLengthInput.value); isValid = isValid && validateInput(outerDiameter, tubeOuterDiameterInput, tubeOuterDiameterError, 0.1, Infinity, "Outer Diameter"); isValid = isValid && validateInput(innerDiameter, tubeInnerDiameterInput, tubeInnerDiameterError, 0, Infinity, "Inner Diameter"); isValid = isValid && validateInput(length, tubeLengthInput, tubeLengthError, 0.1, Infinity, "Length"); if (isValid && innerDiameter >= outerDiameter) { tubeInnerDiameterError.textContent = "Inner diameter must be less than outer diameter."; tubeInnerDiameterInput.style.borderColor = 'red'; isValid = false; } if (isValid) { dimensions = { outerDiameter: outerDiameter / 1000, innerDiameter: innerDiameter / 1000, length: length / 1000 }; // Convert mm to m } } else if (shape === 'sheet') { var width = parseFloat(sheetWidthInput.value); var length = parseFloat(sheetLengthInput.value); var thickness = parseFloat(sheetThicknessInput.value); isValid = isValid && validateInput(width, sheetWidthInput, sheetWidthError, 0.1, Infinity, "Width"); isValid = isValid && validateInput(length, sheetLengthInput, sheetLengthError, 0.1, Infinity, "Length"); isValid = isValid && validateInput(thickness, sheetThicknessInput, sheetThicknessError, 0.01, Infinity, "Thickness"); if (isValid) { dimensions = { width: width / 1000, length: length / 1000, thickness: thickness / 1000 }; // Convert mm to m } } else if (shape === 'block') { var width = parseFloat(blockWidthInput.value); var height = parseFloat(blockHeightInput.value); var length = parseFloat(blockLengthInput.value); isValid = isValid && validateInput(width, blockWidthInput, blockWidthError, 0.1, Infinity, "Width"); isValid = isValid && validateInput(height, blockHeightInput, blockHeightError, 0.1, Infinity, "Height"); isValid = isValid && validateInput(length, blockLengthInput, blockLengthError, 0.1, Infinity, "Length"); if (isValid) { dimensions = { width: width / 1000, height: height / 1000, length: length / 1000 }; // Convert mm to m } } var temperature = parseFloat(temperatureInput.value); isValid = isValid && validateInput(temperature, temperatureInput, temperatureError, -273.15, Infinity, "Temperature"); if (!isValid) { // If any validation failed, reset results and return totalWeightSpan.textContent = '– kg'; volumeSpan.textContent = '– m³'; densitySpan.textContent = '– kg/m³'; updateChart([], []); // Clear chart data return; } // Calculate Volume var volume = 0; if (shape === 'rod') { volume = Math.PI * Math.pow(dimensions.diameter / 2, 2) * dimensions.length; } else if (shape === 'tube') { volume = Math.PI * (Math.pow(dimensions.outerDiameter / 2, 2) – Math.pow(dimensions.innerDiameter / 2, 2)) * dimensions.length; } else if (shape === 'sheet') { volume = dimensions.width * dimensions.length * dimensions.thickness; } else if (shape === 'block') { volume = dimensions.width * dimensions.height * dimensions.length; } // Calculate Density (simplified temperature adjustment) var currentDensity = inconel718DensityBase + (temperature – 20) * tempEffectFactor; // Ensure density doesn't go unrealistically low or negative currentDensity = Math.max(currentDensity, 7500); // Lower bound safety // Calculate Weight var weight = volume * currentDensity; // Update display volumeSpan.textContent = volume.toFixed(6) + ' m³'; // More precision for volume densitySpan.textContent = currentDensity.toFixed(2) + ' kg/m³'; totalWeightSpan.textContent = weight.toFixed(3) + ' kg'; // kg with 3 decimal places // Update Chart updateChart(temperature, weight); } // — Charting — function createChart() { var initialTemp = parseFloat(temperatureInput.value); var initialWeight = parseFloat(totalWeightSpan.textContent); // This will be NaN if not calculated yet if (isNaN(initialWeight)) initialWeight = 0; var chartData = { labels: [initialTemp + '°C'], datasets: [{ label: 'Weight (kg)', data: [initialWeight], borderColor: 'var(–primary-color)', backgroundColor: 'rgba(0, 74, 153, 0.1)', fill: true, tension: 0.1 }, { label: 'Density (kg/m³)', data: [parseFloat(densitySpan.textContent)], borderColor: 'var(–success-color)', backgroundColor: 'rgba(40, 167, 69, 0.1)', fill: true, tension: 0.1 }] }; weightChartInstance = new Chart(ctx, { type: 'line', data: chartData, options: { responsive: true, maintainAspectRatio: false, scales: { x: { title: { display: true, labelString: 'Temperature (°C)' } }, y: { title: { display: true, labelString: 'Value' }, beginAtZero: false // Density might start higher } }, plugins: { tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y.toFixed(2); // Adjust precision as needed } return label; } } } } } }); } function updateChart(currentTemp, currentWeight) { if (!weightChartInstance) return; var currentDensity = parseFloat(densitySpan.textContent); // Get density value from the span // Add current data point weightChartInstance.data.labels.push(currentTemp + '°C'); weightChartInstance.data.datasets[0].data.push(currentWeight); weightChartInstance.data.datasets[1].data.push(currentDensity); // Add density data // Limit number of data points to prevent clutter (e.g., last 20) var maxDataPoints = 20; if (weightChartInstance.data.labels.length > maxDataPoints) { weightChartInstance.data.labels.shift(); weightChartInstance.data.datasets[0].data.shift(); weightChartInstance.data.datasets[1].data.shift(); } weightChartInstance.update(); } // — Utility Functions — function clearErrors() { rodDiameterError.textContent = "; rodDiameterInput.style.borderColor = "; rodLengthError.textContent = "; rodLengthInput.style.borderColor = "; tubeOuterDiameterError.textContent = "; tubeOuterDiameterInput.style.borderColor = "; tubeInnerDiameterError.textContent = "; tubeInnerDiameterInput.style.borderColor = "; tubeLengthError.textContent = "; tubeLengthInput.style.borderColor = "; sheetWidthError.textContent = "; sheetWidthInput.style.borderColor = "; sheetLengthError.textContent = "; sheetLengthInput.style.borderColor = "; sheetThicknessError.textContent = "; sheetThicknessInput.style.borderColor = "; blockWidthError.textContent = "; blockWidthInput.style.borderColor = "; blockHeightError.textContent = "; blockHeightInput.style.borderColor = "; blockLengthError.textContent = "; blockLengthInput.style.borderColor = "; temperatureError.textContent = "; temperatureInput.style.borderColor = "; } function resetCalculator() { // Reset inputs to sensible defaults shapeSelect.value = 'rod'; rodDiameterInput.value = 50; rodLengthInput.value = 1000; tubeOuterDiameterInput.value = 60; tubeInnerDiameterInput.value = 50; tubeLengthInput.value = 1000; sheetWidthInput.value = 1000; sheetLengthInput.value = 2000; sheetThicknessInput.value = 5; blockWidthInput.value = 500; blockHeightInput.value = 500; blockLengthInput.value = 1000; temperatureInput.value = 20; // Update the displayed input fields updateShapeInputs(); // Clear errors and recalculate clearErrors(); calculateWeight(); } function copyResults() { var shape = shapeSelect.value; var shapeName = shape.charAt(0).toUpperCase() + shape.slice(1); var textToCopy = "— Inconel 718 Weight Calculation —"; textToCopy += "\n\nShape: " + shapeName; if (shape === 'rod') { textToCopy += "\nRod Diameter: " + rodDiameterInput.value + " mm"; textToCopy += "\nRod Length: " + rodLengthInput.value + " mm"; } else if (shape === 'tube') { textToCopy += "\nOuter Diameter: " + tubeOuterDiameterInput.value + " mm"; textToCopy += "\nInner Diameter: " + tubeInnerDiameterInput.value + " mm"; textToCopy += "\nTube Length: " + tubeLengthInput.value + " mm"; } else if (shape === 'sheet') { textToCopy += "\nSheet Width: " + sheetWidthInput.value + " mm"; textToCopy += "\nSheet Length: " + sheetLengthInput.value + " mm"; textToCopy += "\nSheet Thickness: " + sheetThicknessInput.value + " mm"; } else if (shape === 'block') { textToCopy += "\nBlock Width: " + blockWidthInput.value + " mm"; textToCopy += "\nBlock Height: " + blockHeightInput.value + " mm"; textToCopy += "\nBlock Length: " + blockLengthInput.value + " mm"; } textToCopy += "\nTemperature: " + temperatureInput.value + " °C"; textToCopy += "\n\n— Results —"; textToCopy += "\nTotal Weight: " + totalWeightSpan.textContent; textToCopy += "\nVolume: " + volumeSpan.textContent; textToCopy += "\nDensity: " + densitySpan.textContent; textToCopy += "\n\n— Assumptions —"; textToCopy += "\nMaterial: Inconel 718 (Standard Density)"; // Use a temporary textarea to copy text to clipboard var tempTextArea = document.createElement("textarea"); tempTextArea.value = textToCopy; tempTextArea.style.position = "absolute"; tempTextArea.style.left = "-9999px"; // Move off-screen document.body.appendChild(tempTextArea); tempTextArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Results copied successfully!' : 'Failed to copy results.'; console.log(msg); // Optionally show a temporary message to the user var copyButton = document.querySelector('.btn-copy'); var originalText = copyButton.textContent; copyButton.textContent = 'Copied!'; setTimeout(function() { copyButton.textContent = originalText; }, 1500); } catch (err) { console.error('Fallback: Oops, unable to copy', err); } document.body.removeChild(tempTextArea); } // Add event listeners for shape change shapeSelect.addEventListener('change', updateShapeInputs); // Initialize chart – requires Chart.js library to be loaded externally if not using native canvas drawing // For this example, we assume Chart.js is available. If not, a pure SVG or canvas drawing implementation would be needed. // Assuming Chart.js is loaded via CDN or in the header for this snippet. // If Chart.js is NOT available, the canvas element will remain blank and the updateChart function won't work. // A pure JS canvas drawing fallback would be extensive. // NOTE: For production, ensure Chart.js is properly included. // — FAQ Functionality — var faqQuestions = document.querySelectorAll('.faq-question'); faqQuestions.forEach(function(question) { question.addEventListener('click', function() { var answer = this.nextElementSibling; this.classList.toggle('active'); if (answer.style.display === 'block') { answer.style.display = 'none'; } else { answer.style.display = 'block'; } }); }); <!– NOTE: For the chart to work, you MUST include the Chart.js library. Add this line in the section before the closing tag: –>

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