MCQ
One mole of $N_2O_4(g)$ at $300\,K$ is kept in closed container under one atmosphere. It is heated to $600\,K$ when $20\%$ of $N_2O_4(g)$ decomposes to $NO_2(g)$. The resultant pressure at $600\,K$ is .....$atm$
- A$1.2$
- ✓$2.4$
- C$2$
- D$1$
✓
Answer
Correct option: B.
$2.4$
b
The pressure at $300 \mathrm{K}$ is $1 \mathrm{atm}$. Pressure at $600 \mathrm{K}$ will be $\mathrm{P}_{2}=\mathrm{T}_{2} \times \frac{\mathrm{P}_{1}}{\mathrm{T}_{1}}=600 \times \frac{1}{300}=2 \mathrm{atm}$
The pressure at $300 \mathrm{K}$ is $1 \mathrm{atm}$. Pressure at $600 \mathrm{K}$ will be $\mathrm{P}_{2}=\mathrm{T}_{2} \times \frac{\mathrm{P}_{1}}{\mathrm{T}_{1}}=600 \times \frac{1}{300}=2 \mathrm{atm}$
Decomposition is $20 \%$ by mass of $\mathrm{N}_{2} \mathrm{O}_{4}$.
$\mathrm{N}_{2} \mathrm{O}_{4} \mathrm{N} \mathrm{O}_{2}$
Initial pressure 2 0
Change in pressure -0.4 0.8
Equilibrium pressure 1.6 0.8
Total pressure $=1.6+0.8=2.4$
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