QJEEM22Ch259d: JEE Main 2022 Chemistry - Class 11 JEEM22Ch259d Solution: A rigid nitrogen tank stored inside a laboratory has a pressure …

A nitrogen tank of fixed volume used where number of moles of nitrogen is fixed.

$$\therefore$$ V = constant

n = constant

R = constant

From ideal gas equation,

PV = nRT

$$\Rightarrow$$ P $$\propto$$ T [As V, n, R = constant]

Here, initially P₁ = 30 atm, T₁ = 300 K

Finally, P₂ = ?, T₂ = 318 K

$$\therefore$$ $$\frac{P_1}{P_2}=\frac{T_1}{T_2}$$

$$\Rightarrow \frac{30}{P_2}=\frac{300}{318}$$

$$\Rightarrow P_2=31.8\simeq 32$$