First slide

Different type of processes

Question

70 cal of heat are required to raise the temperature of 2 mol of an ideal gas at constant pressure from 30⁰C to 35⁰C. The amount of heat required in calories to raise the temperature of the same gas through the same range (30⁰C-35⁰C) at constant volume is

Moderate

A

30 cal
B

50 cal
C

40 cal
D

90 cal

Solution

$Q_{1} = n C_{p} Δ T \Rightarrow Q_{2} = n C_{V} Δ T$
$∴ Q_{1} - Q_{2} = n R Δ T$
$or Q_{2} = Q_{1} - n R Δ T = (70) - (2) (\frac{8.31}{4.18}) (5) ≅ 50 cal$

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