One mole of an ideal gas requires 207J heat to raise the temperat… - Vidyadip

MCQ

One mole of an ideal gas requires $207J$ heat to raise the temperature by $10K,$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by $10K,$ then heat required is:

A
$96.6J$
✓
$124J$
C
$198.8J$
D
$215.4J$

✓

Answer

Correct option: B.

$124J$

Using $\text{CP − CV = R,}$
$CP$ is heat needed for raising by $10 K.$
$\therefore \text{CP = 20.7J/ moleK}$
Given $\text{R = 8.3 J/ mole K}$
$\therefore \text{CV = 20.7 − 8.3 = 12.4J/ moleK}$
$\therefore$ For raising by $10 K. = 124 J$

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