One mole of an ideal monoatomic gas (gamma = | vedclass

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

Question

(A) For a mixture of gases,the equivalent adiabatic exponent $\gamma_{	ext{mix}}$ is given by the formula: $\frac{n_1 + n_2}{\gamma_{	ext{mix}} - 1}

Vedclass · Accepted Answer

$3/2$

Vedclass · Answer

(A) For a mixture of gases,the equivalent adiabatic exponent $\gamma_{	ext{mix}}$ is given by the formula: $\frac{n_1 + n_2}{\gamma_{	ext{mix}} - 1} = \frac{n_1}{\gamma_1 - 1} + \frac{n_2}{\gamma_2 - 1}$.Given: $n_1 = 1$ mole,$\gamma_1 = 5/3$ (monoatomic); $n_2 = 1$ mole,$\gamma_2 = 7/5$ (diatomic).Substituting the values:$\frac{1 + 1}{\gamma_{	ext{mix}} - 1} = \frac{1}{5/3 - 1} + \frac{1}{7/5 - 1}$$\frac{2}{\gamma_{	ext{mix}} - 1} = \frac{1}{2/3} + \frac{1}{2/5} = \frac{3}{2} + \frac{5}{2} = \frac{8}{2} = 4$.$\frac{2}{\gamma_{	ext{mix}} - 1} = 4 \implies \gamma_{	ext{mix}} - 1 = 2/4 = 1/2$.$\gamma_{	ext{mix}} = 1 + 0.5 = 1.5 = 3/2$.

One mole of an ideal monoatomic gas $(\gamma = 5/3)$ is mixed with one mole of a diatomic gas $(\gamma = 7/5)$. What is the value of $\gamma$ for the mixture? Here,$\gamma$ denotes the ratio of specific heat at constant pressure to that at constant volume.

Similar Questions

How many chloride ions are there around a sodium ion in a sodium chloride crystal?

Let $f(x) = \frac{2\sin^2 x - 1}{\cos x} + \frac{\cos x(2\sin x + 1)}{1 + \sin x}$. Then find $\int e^x (f(x) + f'(x)) dx$ (where $c$ is the constant of integration).

Which organ receives only oxygenated blood?

Identify the correct order in which the covalent radius of the following elements increases: $(I)$ $Ti$,$(II)$ $Ca$,$(III)$ $Sc$.

$A$ wire carrying a current $i$ is placed in a uniform magnetic field in the form of the curve $y = a \sin \left( \frac{\pi x}{L} \right)$ for $0 \le x \le 2L$. The force acting on the wire is

Vedclass Test Series

Exam Paper Generator

Online Exam Module