Problem: A 100.0-g bar of gold is heated from 25 oC to 50 oC, during which it absorbs 322 J of heat. Assume the volume of the gold bar remains constant.Based on the data, calculate the specific heat of Au (s).

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FREE Expert Solution

Specific heat of a substance is given by:


<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>&#xA0;</mo><mo>=</mo><mfrac><mrow><mo>&#xA0;</mo><mi>q</mi></mrow><mrow><mi>m</mi><mo>.</mo><mo>&#x2206;</mo><mi>T</mi></mrow></mfrac></math>


We are given the values of m, q and the initial and final temperatures.

Note that

<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle mathsize="20px"><mrow><mo>&#x2206;</mo><mi mathvariant="normal">T</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><msub><mi mathvariant="normal">T</mi><mi>final</mi></msub><mo>&#xA0;</mo><mo>-</mo><mo>&#xA0;</mo><msub><mi mathvariant="normal">T</mi><mi>initial</mi></msub></mrow></mstyle></math>


Also, because heat is being absorbed, the value of q will be positive.


We can plug in these values into this equation.


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Problem Details

A 100.0-g bar of gold is heated from 25 oC to 50 oC, during which it absorbs 322 J of heat. Assume the volume of the gold bar remains constant.

Based on the data, calculate the specific heat of Au (s).