1
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1

For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure.

The temperature corresponding to the point '$$\mathrm{K}$$' is :

A
$$-273^{\circ} \mathrm{C}$$
B
$$-373^{\circ} \mathrm{C}$$
C
$$-100^{\circ} \mathrm{C}$$
D
$$-40^{\circ} \mathrm{C}$$
2
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. The work done by the gas in the process is $$\left(\mathrm{given}, \gamma=\frac{3}{2}\right)$$ :

A
$$W=T R[\sqrt{2}-2]$$
B
$$W=\frac{T}{R}[\sqrt{2}-2]$$
C
$$W=\frac{R}{T}[2-\sqrt{2}]$$
D
$$W=R T[2-\sqrt{2}]$$
3
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

$$\left(P+\frac{a}{V^{2}}\right)(V-b)=R T$$ represents the equation of state of some gases. Where $$P$$ is the pressure, $$V$$ is the volume, $$T$$ is the temperature and $$a, b, R$$ are the constants. The physical quantity, which has dimensional formula as that of $$\frac{b^{2}}{a}$$, will be:

A
Energy density
B
Bulk modulus
C
Modulus of rigidity
D
Compressibility
4
JEE Main 2023 (Online) 31st January Evening Shift
+4
-1
Heat energy of $735 \mathrm{~J}$ is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy of the gas will be :
A
$572 \mathrm{~J}$
B
$441 \mathrm{~J}$
C
$525 \mathrm{~J}$
D
$735 \mathrm{~J}$
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