The temperature of $1$ mole of an ideal monoatomic gas is increased by $50^\circ$C at constant pressure. The total heat added and change in internal energy are $E_1$ and $E_2$, respectively. If $\frac{E_1}{E_2}=\frac x9$ then the value of $x$ is ______.

Question

Dr. Abubacker · Accepted Answer

[Solution by Dr. Abubacker] $E_1=nC_p\Delta T=\frac52R\Delta T$ and $E_2=nC_v\Delta T=\frac32R\Delta T$, so $\frac{E_1}{E_2}=\frac53=\frac x9\Rightarrow x=15$. Answer: 15.

Q. The temperature of $1$ mole of an ideal monoatomic gas is increased by $50^\circ$C at constant pressure. The total heat added and change in internal energy are $E_1$ and $E_2$, respectively. If $\frac{E_1}{E_2}=\frac x9$ then the value of $x$ is ______.

Explanation

Reviewed by Dr. Abubacker

Want to attempt the full paper?