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QPages 98-102: Q38: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q38 Solution: An amount n in moles) of a monatomic gas at an initial…
An amount n in moles) of a monatomic gas at an initial temperature is enclosed in a cylindrical vessel fitted with a light piston. The surrounding air has a temperature ) and the atmospheric pressure is . Heat may be conducted between the surrounding and the gas through the bottom of the cylinder. The bottom has a surface area A, thickness x and thermal conductivity K. Assuming all changes to be slow, find the distance moved by the piston in time t.
Step-by-Step Verified Solution
**Answer:** Distance moved = (nC_p/K A t)/x.
**Step-BY-Step Explanation:**
The gas expands slowly at constant pressure as heat is conducted through the bottom.
Distance moved by piston = (nC_p t)/(KA) _ (T_s _ T_)/x approximately.
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