Easy INTEGER +4 / -1 PYQ · JEE Mains 2022

A company dissolves 'x' amount of CO2 at 298 K in 1 litre of water to prepare soda water. X = __________ $\times$ 10$-$3 g. (nearest integer)

(Given : partial pressure of CO2 at 298 K = 0.835 bar.

Henry's law constant for CO2 at 298 K = 1.67 kbar.

Atomic mass of H, C and O is 1, 12, and 6 g mol$-$1, respectively)

Answer (integer) 1221

Solution

According to Henry's law, partial pressure of a gas is given by <br/><br/> $P_{g}=\left(K_{H}\right) X_{g}$ <br/><br/> where $X_{g}$ is mole fraction of gas in solution <br/><br/> $0.835=1.67 \times 10^{3}\left(\mathrm{X}_{\mathrm{CO}_{2}}\right)$ <br/><br/> $\mathrm{X}_{\mathrm{CO}_{2}}=5 \times 10^{-4}$ <br/><br/> Mass of $\mathrm{CO}_{2}$ in $1 \mathrm{~L}$ water $=1221 \times 10^{-3} \mathrm{~g}$

About this question

Subject: Chemistry · Chapter: States of Matter · Topic: Gas Laws

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