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Question: The specific heat of air at constant volume is 0.172 Cal g–1 °C–1. The change in internal energy whe...

The specific heat of air at constant volume is 0.172 Cal g–1 °C–1. The change in internal energy when 5 g of air is heated from 0° C of 4°C at constant volume is

A

28.8 J

B

14.4 J

C

7.2 J

D

3.51 J

Answer

14.4 J

Explanation

Solution

: As constant volume,

}{dQ = mC_{V}\Delta T = 5 \times 0.172 \times 4cal }{= 5 \times 0.172 \times 4 \times 4.2J }{= 14.4J}$$ $${\therefore dU = dQ - dW = 14.4 - 0 }{= 14.4J}$$