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Equipartition Theorem

4.48L of an i...

Question

$4.48 L$ of an ideal gas at STP requires $12 c a l$ to raise the temperature by $15^{o} C$ at constant volume. The $C_{P}$ of the gas is ______ cal.

A

2

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B

4

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C

6

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D

8

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Solution

The correct option is C 6
Ideal gas at STP :- $1 m o l e ⟶ 22.4 l$
$? ⟶ 4.48 l$
$x = \frac{4.48}{22.4} = 0.2$
$C_{v} = \frac{Q}{n △ T} = \frac{12}{0.2 * 15}$ $= 4$
$C_{p} - C_{v} = R$
$R = 1.987 C a l K^{-} 1 M o l^{-} 1$
therefore; $C p = R + C v = 2 + 4$
$= 6$

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