Two vessels of equal volume contain the same | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The number of moles in the first vessel is $\mu_1 = \frac{P_1V}{RT_1}$.The number of moles in the second vessel is $\mu_2 = \frac{P_2V}{RT_2}$.Whe

Vedclass · Accepted Answer

$\frac{P_1}{2T_1} + \frac{P_2}{2T_2}$

Vedclass · Answer

(D) The number of moles in the first vessel is $\mu_1 = \frac{P_1V}{RT_1}$.The number of moles in the second vessel is $\mu_2 = \frac{P_2V}{RT_2}$.When connected,the total number of moles $\mu$ remains conserved,so $\mu = \mu_1 + \mu_2$.The total volume becomes $2V$,and the final pressure and temperature are $P$ and $T$. Thus,$\mu = \frac{P(2V)}{RT}$.Equating the moles: $\frac{P(2V)}{RT} = \frac{P_1V}{RT_1} + \frac{P_2V}{RT_2}$.Dividing both sides by $V/R$,we get: $\frac{2P}{T} = \frac{P_1}{T_1} + \frac{P_2}{T_2}$.Therefore,$\frac{P}{T} = \frac{P_1}{2T_1} + \frac{P_2}{2T_2}$.

Two vessels of equal volume contain the same gas. Their pressures and temperatures are $P_1, T_1$ and $P_2, T_2$ respectively. When they are connected,the common pressure and temperature are $P$ and $T$. Then $P/T$ is equal to:

Similar Questions

$A$ gas mixture consists of $2.0$ moles of oxygen and $4.0$ moles of neon at temperature $T$. Neglecting all vibrational modes, calculate the total internal energy of the system. (Oxygen has two rotational modes.) (in $RT$)

Four moles of hydrogen,two moles of helium,and one mole of water vapour form an ideal gas mixture. What is the molar specific heat at constant pressure of the mixture?

Two gases $A$ and $B$ having same pressure $P$,volume $V$,and absolute temperature $T$ are mixed. If the mixture has the volume and temperature as $V$ and $T$ respectively,then the pressure of the mixture is

One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in $J\,K^{-1}\,mol^{-1}$) at constant volume is $(R = 8.3\,J\,K^{-1}\,mol^{-1})$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module