1
JEE Main 2024 (Online) 30th January Evening Shift
+4
-1

If three moles of monoatomic gas $$\left(\gamma=\frac{5}{3}\right)$$ is mixed with two moles of a diatomic gas $$\left(\gamma=\frac{7}{5}\right)$$, the value of adiabatic exponent $$\gamma$$ for the mixture is

A
1.35
B
1.52
C
1.40
D
1.75
2
JEE Main 2024 (Online) 30th January Morning Shift
+4
-1

Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $$\mathrm{C}_{\mathrm{A}}$$ and $$\mathrm{C}_{\mathrm{B}}$$. The molar heat capacity at constant pressure and constant volume are represented by $$\mathrm{C_P}$$ and $$\mathrm{C_V}$$, respectively. Choose the correct statement.

A
$$\mathrm{C_P>C_B>C_A>C_V}$$
B
$$\mathrm{C}_{\mathrm{P}}>\mathrm{C}_{\mathrm{V}}>\mathrm{C}_{\mathrm{A}}=\mathrm{C}_{\mathrm{B}}$$
C
$$\mathrm{C}_{\mathrm{A}}=0$$ and $$\mathrm{C}_{\mathrm{B}}=\infty$$
D
$$\mathrm{C_A=\infty, C_B=0}$$
3
JEE Main 2024 (Online) 30th January Morning Shift
+4
-1

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $$47^{\circ} \mathrm{C}$$ ?

A
20 K
B
80 K
C
4 K
D
$$-73$$ K
4
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

The temperature of a gas having $$2.0 \times 10^{25}$$ molecules per cubic meter at $$1.38 \mathrm{~atm}$$ (Given, $$\mathrm{k}=1.38 \times 10^{-23} \mathrm{JK}^{-1}$$) is :

A
500 K
B
300 K
C
200 K
D
100 K
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