First slide

Law of equipartition of energy

Question

If 2 moles of an ideal monatomic gas at temperature $T_{o}$ is mixed with 4 moles of another ideal monatomic gas at temperature 2 $T_{o}$ ,then the temperature of the mixture is

Moderate

A

$\frac{5}{3} T_{o}$
B

$\frac{3}{2} T_{o}$
C

$\frac{4}{3} T_{o}$
D

$\frac{5}{4} T_{o}$

Solution

Let T be temperature of the mixture.
Then $U = U_{1} + U_{2}$
or $\frac{f}{2} (n_{1} + n_{2}) RT = \frac{f}{2} (n_{1}) (R) (T_{o})$ + $\frac{f}{2} (n_{2}) (R) (2 T_{o})$
or (2+4)T = 2 $T_{o} + 8 T_{o} (∴ n_{1} = 2, n_{2} = 4)$
$∴ T = \frac{5}{3} T_{o}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App