When one mole of monatomic gas is mixed with | vedclass

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

Question

(C) For a monatomic gas,the adiabatic index $\gamma_1 = 5/3$. The number of moles $n_1 = 1$.For a diatomic gas (neglecting vibration),the adiabatic in

Vedclass · Accepted Answer

$1.50$

Vedclass · Answer

(C) For a monatomic gas,the adiabatic index $\gamma_1 = 5/3$. The number of moles $n_1 = 1$.For a diatomic gas (neglecting vibration),the adiabatic index $\gamma_2 = 7/5$. The number of moles $n_2 = 1$.The equivalent adiabatic index $\gamma$ for a mixture is given by the formula:$\frac{n_{mix}}{\gamma - 1} = \frac{n_1}{\gamma_1 - 1} + \frac{n_2}{\gamma_2 - 1}$Here,$n_{mix} = n_1 + n_2 = 1 + 1 = 2$.Substituting the values:$\frac{2}{\gamma - 1} = \frac{1}{5/3 - 1} + \frac{1}{7/5 - 1}$$\frac{2}{\gamma - 1} = \frac{1}{2/3} + \frac{1}{2/5} = \frac{3}{2} + \frac{5}{2} = \frac{8}{2} = 4$$\frac{2}{\gamma - 1} = 4 \implies \gamma - 1 = 0.5 \implies \gamma = 1.5$.

When one mole of monatomic gas is mixed with one mole of a diatomic gas,then the equivalent value of $\gamma$ for the mixture will be (vibration mode neglected).

Similar Questions

For a mixture of non-reactive gases,derive the equation for total pressure.

If two moles of diatomic gas and one mole of monoatomic gas are mixed,then the ratio of specific heats $\gamma$ for the mixture is:

The temperature of the mixture of one mole of helium and one mole of hydrogen is increased from $0^{\circ}C$ to $100^{\circ}C$ at constant pressure. The amount of heat delivered will be ...... $cal$.

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

The pressure and temperature of two different gases are $P$ and $T$,each having the same volume $V$. If they are mixed while keeping the volume and temperature constant,the pressure of the mixture will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module