Question:
If percentage of N$_2$ above a liquid solution is 80% at a total pressure of 10 atm, then find the mole fraction of N$_2$ gas dissolved in solution.
[Given that Henry’s constant for N$_2$ is $7.6 \times 10^7$ mm Hg]
If percentage of N$_2$ above a liquid solution is 80% at a total pressure of 10 atm, then find the mole fraction of N$_2$ gas dissolved in solution.
[Given that Henry’s constant for N$_2$ is $7.6 \times 10^7$ mm Hg]
[Given that Henry’s constant for N$_2$ is $7.6 \times 10^7$ mm Hg]
Show Hint
Always convert pressure into the same unit as Henry’s constant before substitution.
Updated On: Jan 25, 2026
- $10^{-4}$
- $8 \times 10^{-5}$
- $10^{-7}$
- $10^{-6}$
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Apply Henry’s law.
According to Henry’s law:
\[ P_{N_2} = K_H X_{N_2} \]
Step 2: Calculate partial pressure of N$_2$.
Given that percentage of N$_2$ is 80% and total pressure is 10 atm:
\[ P_{N_2} = 0.8 \times 10 = 8\ \text{atm} \]
Step 3: Convert pressure into mm Hg.
\[ 8\ \text{atm} = 8 \times 760 = 6080\ \text{mm Hg} \]
Step 4: Calculate mole fraction of N$_2$.
\[ X_{N_2} = \frac{P_{N_2}}{K_H} = \frac{6080}{7.6 \times 10^7} \] \[ X_{N_2} = 8 \times 10^{-5} \]
According to Henry’s law:
\[ P_{N_2} = K_H X_{N_2} \]
Step 2: Calculate partial pressure of N$_2$.
Given that percentage of N$_2$ is 80% and total pressure is 10 atm:
\[ P_{N_2} = 0.8 \times 10 = 8\ \text{atm} \]
Step 3: Convert pressure into mm Hg.
\[ 8\ \text{atm} = 8 \times 760 = 6080\ \text{mm Hg} \]
Step 4: Calculate mole fraction of N$_2$.
\[ X_{N_2} = \frac{P_{N_2}}{K_H} = \frac{6080}{7.6 \times 10^7} \] \[ X_{N_2} = 8 \times 10^{-5} \]
Was this answer helpful?
0
0
Top Questions on Solutions
- If pure liquids A and B have vapour pressures of 55 kPa and 15 kPa respectively. If in a solution of A and B, mole fraction of A in vapour is 0.8, then find mole fraction of A in liquid phase.
- Two solutes, $0.3 \text{ gm}$ of $\text{A}$ ($M_w = 60 \text{ gm/mol}$) & $0.9 \text{ gm}$ of $\text{B}$ ($M_w = 180 \text{ gm/mol}$) are dissolved in $100 \text{ ml}$ solution. Find osmotic pressure of solution at $300 \text{ K}$ (in $\text{atm}$) ($\text{R} = 0.082 \text{ atm}-\text{L/mol-K}$)
- Salt ($\text{X}$) is soluble in water. Salt ($\text{Y}$) is sparingly soluble in water. Salt ($\text{Z}$) is soluble only in hot water. $\text{X}, \text{Y}, \text{Z}$ respectively are.
- $W \text{ gm}$ of non-volatile electrolyte solute is added in $100 \text{ ml}$ pure water ($\text{P}^\circ = 640 \text{ mm Hg}$) showing vapour pressure of solution $600 \text{ mm Hg}$. This solution have $\text{b}.\text{p}$. of $375 \text{ K}$. Given $K_b$ of $\text{H}_2\text{O} = 0.52 \frac{K \cdot \text{kg}}{\text{mol}}$. Molar mass of solute $= \text{M}$. Select the correct option about mole fraction of solute ($\text{X}_{\text{solute}}$).
- 3 moles of liquid A and 1 mole of liquid B are mixed to form an ideal solution. The vapour pressure of solution becomes $500 \text{ mm Hg}$. If 1 mole of A is further added then vapour pressure of solution increases by $20 \text{ mm Hg}$. Find vapour pressure of pure B ($P_B^o$) in $\text{mm Hg}$ ?
View More Questions
Questions Asked in JEE Main exam
- There are 10 defective and 90 non-defective balls in a bag. 8 balls are taken one by one with replacement. Find the probability that at least 7 defective balls are selected.
- JEE Main - 2026
- Probability
- Let $5000<N<9000$ and $N$ has digits from the set $\{0,1,2,5,9\}$. If digits can be repeated, then find the number of such numbers $N$ which are divisible by $3$.
- JEE Main - 2026
- Linear Equations
- An ideal gas in a closed rigid container is at 50$^\circ$C and pressure 3.23 kPa. If temperature is doubled, find new pressure in Pa :
- JEE Main - 2026
- Thermodynamics
- Match the List-I and List-II name of species, hybridization and shape.
- JEE Main - 2026
- coordination compounds
- Hydroxy compound ($\text{A}$) with molecular mass $= 122$ react with excess of acetic anhydride and gives compound ($\text{X}$) with molecular mass $= 290$, then find the no. of hydroxy groups in given compound ($\text{A}$).
- JEE Main - 2026
- Hydrocarbons
View More Questions