(D) According to Henry's Law, $P_{N_2} = K_H \cdot X_{N_2}$.First, calculate the partial pressure of $N_2$ in air: $P_{N_2} = \text{mole fraction of }

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(D) According to Henry's Law, $P_{N_2} = K_H \cdot X_{N_2}$.First, calculate the partial pressure of $N_2$ in air: $P_{N_2} = \text{mole fraction of } N_2 \times \text{Total pressure} = 0.8 \times 10 \ atm = 8 \ atm$.Convert the partial pressure to $mm \ Hg$: $P_{N_2} = 8 \ atm \times 760 \ mm \ Hg/atm = 6080 \ mm \ Hg$.Now, use Henry's Law to find the mole fraction $X_{N_2}$ in water: $X_{N_2} = \frac{P_{N_2}}{K_H} = \frac{6080}{6.5 \times 10^7}$.$X_{N_2} = 9.35 \times 10^{-5}$.

Class 12 Chemistry Solutions Solubility

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At $298 \ K$, the mole percentage of $N_{2(g)}$ in air is $80\%$. Water is in equilibrium with air at a pressure of $10 \ atm$. What is the mole fraction of $N_{2(g)}$ in water at $298 \ K$? ($K_H$ for $N_2$ is $6.5 \times 10^7 \ mm \ Hg$)

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A
$1.23 \times 10^{-7}$
B
$1.17 \times 10^{-4}$
C
$9.35 \times 10^5$
D
$9.35 \times 10^{-5}$

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At $298 \ K$, the mole percentage of $N_{2(g)}$ in air is $80\%$. Water is in equilibrium with air at a pressure of $10 \ atm$. What is the mole fraction of $N_{2(g)}$ in water at $298 \ K$? ($K_H$ for $N_2$ is $6.5 \times 10^7 \ mm \ Hg$)

Similar Questions

$(a)$ Explain the following phenomena with the help of Henry’s law.$(i)$ Painful condition known as bends.$(ii)$ Feeling of weakness and discomfort in breathing at high altitude.$(b)$ Why does a soda water bottle kept at room temperature fizz on opening?

The solubility of a gas in a liquid increases with:

The solubility of $N_2$ gas in water at $25 \text{ }^\circ\text{C}$ and $1 \text{ bar}$ is $6.85 \times 10^{-4} \text{ mol L}^{-1}$. Calculate the solubility of $N_2$ gas in water at the same temperature when the partial pressure of $N_2$ is $0.70 \text{ bar}$.

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$(a)$ Explain the following phenomena with the help of Henry’s law.
$(i)$ Painful condition known as bends.
$(ii)$ Feeling of weakness and discomfort in breathing at high altitude.
$(b)$ Why does a soda water bottle kept at room temperature fizz on opening?