The temperature of 1 mole of an ideal monoatomic gas is increased by $50^{\circ} \mathrm{C}$ at cons

Question

The temperature of 1 mole of an ideal monoatomic gas is increased by $50^{\circ} \mathrm{C}$ at constant pressure. The total heat added and change in internal energy are $E_{1}$ and $E_{2}$, respectively. If $\frac{E_{1}}{E_{2}}=\frac{x}{9}$ then the value of $x$ is $\_\_\_\_$ .

Professor PC Thomas Classes · Answer

(15) : Here, total heat added is $E_{1}$ and change in internal energy is $E_{2}$\ Total heat added, $d Q=n C_{p} d T$\ $E_{1}$ or $d Q=\left[\frac{5 R}{2}ight] 	imes 50 \Rightarrow 125 R$ Change in internal energy, $\Delta U=n C_{v} d T$