What is the specific heat capacity of a substance if it takes 500 J to raise the

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Question: What is the specific heat capacity of a substance if it takes 500 J to raise the temperature of 2 kg of the substance by 5°C? (2021)

Options:

Correct Answer: 50 J/kg°C

Exam Year: 2021

Solution:

Specific heat capacity (c) = Q / (m * ΔT) = 500 J / (2 kg * 5°C) = 50 J/kg°C

What is the specific heat capacity of a substance if it takes 500 J to raise the temperature of 2 kg of the substance by 5°C? (2021)

What is the specific heat capacity of a substance if it takes 500 J to raise the temperature of 2 kg of the substance by 5°C? (2021)

Step 1: Identify the values given in the problem. We have Q (heat energy) = 500 J, m (mass) = 2 kg, and ΔT (change in temperature) = 5°C.
Step 2: Write down the formula for specific heat capacity: c = Q / (m * ΔT).
Step 3: Substitute the values into the formula: c = 500 J / (2 kg * 5°C).
Step 4: Calculate the denominator: 2 kg * 5°C = 10 kg°C.
Step 5: Now divide the heat energy by the result from Step 4: c = 500 J / 10 kg°C.
Step 6: Perform the division: 500 J / 10 kg°C = 50 J/kg°C.
Step 7: Conclude that the specific heat capacity of the substance is 50 J/kg°C.

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