A chemist carefully measures the amount of heat needed to raise the temperature of a 0.37kg sample of a pure substance from −1.2°C to 14.5°C. The experiment shows that 1.4kJ of heat are needed. What can the chemist report for the specific heat capacity of the substance? Be sure your answer has the correct number of significant digits.

Question
Asked Oct 28, 2019

A chemist carefully measures the amount of heat needed to raise the temperature of a 0.37kg sample of a pure substance from −1.2°C to 14.5°C. The experiment shows that 1.4kJ of heat are needed. What can the chemist report for the specific heat capacity of the substance? Be sure your answer has the correct number of significant digits.

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Expert Answer

Step 1

Mass of the sample is 0.37 kg and the temperature is raised from – 1.2 oC to 14.5 oC. The heat needed is 1.4 kJ. The specific heat can be calculated as,

Q mCAT
Where, Q is the heat, m is the mass of sample, AT is the difference in temperature
and C is the specific heat.
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Q mCAT Where, Q is the heat, m is the mass of sample, AT is the difference in temperature and C is the specific heat.

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Step 2

Substituting the val...

1.4 x 1000 (J) 0.37 x 1000 (g) x C x [14.5 - (-1.2)] °C
1.4 0.37 x C x 15.7
1.4 5.809 x C
C 0.241 J g1 °C-1
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1.4 x 1000 (J) 0.37 x 1000 (g) x C x [14.5 - (-1.2)] °C 1.4 0.37 x C x 15.7 1.4 5.809 x C C 0.241 J g1 °C-1

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