QJEEM22Ch2e7a: JEE Main 2022 Chemistry - Class 12 JEEM22Ch2e7a Solution: A company dissolves 'x' amount of CO 2 at 298 K in 1 litre of…

Question

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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)

Accepted Answer

According to Henry's law, partial pressure of a gas is given by

P_{g}=\left(K_{H}\right) X_{g}

where

X_{g}

is mole fraction of gas in solution

0.835=1.67 \times 10^{3}\left(\mathrm{X}_{\mathrm{CO}_{2}}\right)

\mathrm{X}_{\mathrm{CO}_{2}}=5 \times 10^{-4}

Mass of

\mathrm{CO}_{2}

in

1 \mathrm{~L}

water

=1221 \times 10^{-3} \mathrm{~g}

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