Question 55: Thermodynamics & KTG

Question

An ideal gas changes its state from $\mathrm{A}$ to $\mathrm{C}$ in two different paths $\mathrm{ABC}$ and $\mathrm{AC}$. The internal energy of the gas at state $\mathrm{C}$ is $20 \mathrm{~J}$ and at state $\mathrm{B}$ is $10 \mathrm{~J}$. Heat supplied to the gas to go from $\mathrm{B} \rightarrow \mathrm{C}$ is
![](https://app-content.cdn.examgoal.net/fly/@width/image/1lwph04nu/f12b4e63-23c6-44c8-b8a6-3727dedd4524/a11d7fa0-1c6e-11ef-8924-27b7a48a05af/file-1lwph04nv.png?format=png)

Accepted Answer

The kinetic energy of an ideal gas is related to its temperature. According to the kinetic theory of gases, the average kinetic energy of gas molecules is given by:
$ KE_{	ext{avg}} = \frac{3}{2} kT $
where:
$ KE_{	ext{avg}} $ is the average kinetic energy of the gas molecules,
$ k $ is the Boltzmann constant,
$ T $ is the absolute temperature.
Since the temperature is kept constant in this scenario, the kinetic energy, which depends solely on the temperature for an ideal gas, will not change.
Therefore, the correct answer is:
Option C: Not change

Answer

90 J

Answer

zero

Answer

70 J

Answer

60 J

Thermodynamics & KTG

An ideal gas changes its state from \mathrm{A} to \mathrm{C} in two different paths \mathrm{ABC} and \mathrm{AC}. The internal energy of the gas at state \mathrm{C} is 20 \mathrm{~J} and at state \mathrm{B} is 10 \mathrm{~J}. Heat supplied to the gas to go from \mathrm{B} \rightarrow \mathrm{C} is

Choose the correct answer: