Calculating Specific Heat Worksheet

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Specific Heat Capacity Calculator

Calculate the thermal energy transferred using the Q = mcΔT formula.

Total Heat Energy (Q)

What is Specific Heat Capacity?

Specific heat capacity is a physical property of matter that defines the amount of heat energy required to raise the temperature of one gram of a substance by one degree Celsius (°C). Every substance has a unique specific heat capacity based on its molecular structure.

Q = m × c × ΔT

Where:

  • Q: Heat energy (measured in Joules, J)
  • m: Mass of the substance (measured in grams, g)
  • c: Specific heat capacity (J/g°C)
  • ΔT: Change in temperature (Final Temp – Initial Temp)

Common Specific Heat Values

Substance Specific Heat (J/g°C)
Water (Liquid) 4.184
Aluminum 0.897
Iron 0.449
Copper 0.385
Gold 0.129

Example Calculation

Suppose you have 100 grams of water and you want to heat it from 25°C to 50°C. How much energy is required?

  1. Identify Mass (m) = 100g
  2. Identify Specific Heat of Water (c) = 4.184 J/g°C
  3. Calculate ΔT = 50°C – 25°C = 25°C
  4. Apply Formula: Q = 100 × 4.184 × 25
  5. Result: Q = 10,460 Joules
function calculateHeatEnergy() { var mass = parseFloat(document.getElementById('shc_mass').value); var specHeat = parseFloat(document.getElementById('shc_capacity').value); var t1 = parseFloat(document.getElementById('shc_t1').value); var t2 = parseFloat(document.getElementById('shc_t2').value); var resultBox = document.getElementById('shc_result_box'); var resultVal = document.getElementById('shc_result_val'); var deltaVal = document.getElementById('shc_delta_val'); if (isNaN(mass) || isNaN(specHeat) || isNaN(t1) || isNaN(t2)) { alert("Please enter valid numerical values for all fields."); return; } var deltaT = t2 – t1; var q = mass * specHeat * deltaT; resultVal.innerHTML = q.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}) + " Joules"; deltaVal.innerHTML = "Temperature Change (ΔT): " + deltaT.toFixed(2) + "°C"; resultBox.style.display = "block"; // Scroll to result resultBox.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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