Question

One kg of a diatomic gas is at a pressure of $8\times {10}^{4}N/m^2$. The density of the gas is $4kg/m^3$. What is teh energy of the gas due to its motion?

• A. $6\times {10}^{4}J$
• B. $7\times {10}^{4}J$
• C. $3\times {10}^{4}J$
• D. $5\times {10}^{4}J$

Answer 1

The correct option is D $5\times {10}^{4}J$

Thermal energy corresponds to internal energy

Mass $=1$kg

density $=8kg/m^3$

Volume $=\frac{mass}{density}=\frac{1}{8}{m}^3$

Pressure $=8\times {10}^{4}N/m^2$

Therefore, Internal energy $\frac{5}{2}P\times V=5\times {10}^{4}J$

Hence, Option $D$ is correct.