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QPages 62-64: Q15: HC Verma: Concepts of Physics - Volume 2 Laws of Thermodynamics Pages 62-64: Q15 Solution: A gas is enclosed in a cylindrical vessel fitted with a…

A gas is enclosed in a cylindrical vessel fitted with a frictionless piston. The gas is slowly heated for some time. During the process, 10 J of heat is supplied and the piston is found to move out 10 cm. Find the increase in the internal energy of the gas. The area of cross section of the cylinder = 4 cm24 \text{ cm}^2 and the atmospheric pressure = 100 kPa.

Step-by-Step Verified Solution

**Answer:** Increase in internal energy = 6 J. **Step-by-Step Explanation:** Given: Q=10Q = 10 J, piston moves 10 cm, area = 4 cm_, atmospheric pressure = 100 kPa. W=PΔV=105×(4×10−4×0.1)=4W = P\Delta V = 10^5 \times (4 \times 10^{-4} \times 0.1) = 4 J. ΔU=Q−W=10−4=6\Delta U = Q - W = 10 - 4 = 6 J.

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