To determine whether a shiny gold-colored rock is actually gold, a chemistry student decides to measure its heat capacity. She first weighs the rock and finds that it has a mass of 4.7 g. She then finds that, upon absorption of 52.7 J of heat, the rock undergoes a rise in temperature from 25 ∘C to 57 ∘C. Find the specific heat capacity of the substance comprising the rock.

Question

Chemistry

Guest

18 May, 05:52

To determine whether a shiny gold-colored rock is actually gold, a chemistry student decides to measure its heat capacity. She first weighs the rock and finds that it has a mass of 4.7 g. She then finds that, upon absorption of 52.7 J of heat, the rock undergoes a rise in temperature from 25 ∘C to 57 ∘C. Find the specific heat capacity of the substance comprising the rock.

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Answers (1)

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Esperanza · Answer 1

The answer to your question is: Cp = 350.4 J / kg°C

Explanation:

Data

mass = m = 4.7 g convert grams to kilograms 0.0047 kg

heat = Q = 52.7 J

Temperature = 25 - 57 °C

Formula

Q = mCpΔT solve for Cp

Cp = Q / mΔT

Process

Cp = 52.7 / [ (0.0047) (57 - 25) ] Substitution

Cp = 52.7 / 0.1504

Cp = 350.4 J / kg°C