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Solutions question

2016 · 9 Apr · Shift 1 · Q19
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Solutions question

2016 · 9 Apr · Shift 1 · Q19

JEE MainChemistrySolutionsMCQ+4 / −1
The solubility of N2N_2N2​ in water at 300 K and 500 torr partial pressure is 0.01 g L−1. The solubility (in g L−1) at 750 torr partial pressure is :
  1. A
    0.0075
  2. B
    0.015
  3. C
    0.02
  4. D
    0.005
View written solutionFree

Correct answer: B

  1. Use Henry’s law

For a gas dissolved in a liquid at constant temperature, the solubility is directly proportional to its partial pressure:

S∝PS \propto PS∝P

So,

S1P1=S2P2\frac{S_1}{P_1} = \frac{S_2}{P_2}P1​S1​​=P2​S2​​

  1. Given data
  • At P1=500P_1 = 500P1​=500 torr, S1=0.01 g L−1S_1 = 0.01\ \text{g L}^{-1}S1​=0.01 g L−1
  • At P2=750P_2 = 750P2​=750 torr, S2=?S_2 = ?S2​=?
  1. Apply the proportionality

S2=S1⋅P2P1S_2 = S_1 \cdot \frac{P_2}{P_1}S2​=S1​⋅P1​P2​​

S2=0.01×750500S_2 = 0.01 \times \frac{750}{500}S2​=0.01×500750​

S2=0.01×1.5=0.015 g L−1S_2 = 0.01 \times 1.5 = 0.015\ \text{g L}^{-1}S2​=0.01×1.5=0.015 g L−1

  1. Match with options

0.015 g L−10.015\ \text{g L}^{-1}0.015 g L−1

This corresponds to Option B.

  1. Comparison with stored answer

Stored correct answer: B

Our derived answer: B

So they agree.

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