First slide

Calculation of pressure

Question

One Kilogram of a diatomic gas is at pressure of 8 x10⁴N/m²The density of the gas is 4kg/m³. What is the energy of the gas due to its thermal motion?

Moderate

A

3 x10⁴ J
B

5 x10⁴J
C

6 x 10⁴J
D

7 x 10⁴J

Solution

For a diatomic molecular gas internal energy per molecule is,
$U = \frac{5}{2} {NK}_{B} T$
However , PV=NK_BT. Therefore, the total energy is
$U = \frac{5}{2} P V$
Also , We Know that
$V = \frac{mass}{density} = \frac{1}{4} m^{3}$
Therefore, $U = \frac{5}{2} x 8 x 10^{4} x \frac{1}{4} = 5 x 10^{4} J$

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