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JEE Main 20203 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
3 September
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2020 · 3 September · Morning Shift · Chemistry · Solutions

Henry's constant (in kbar) for four gases α, β, γ and in water at...

Henry's constant (in kbar) for four gases α,β,γ\alpha, \beta, \gamma and δ\delta in water at 298K298K is given below :

{αβγδKH5022×10−50.5\begin{cases}\alpha & \beta & \gamma & \delta \\ {K}_{H} & 50 & 2 & 2 \times {10}^{- 5} & 0 . 5\end{cases}

(density of water =103kgm−3= {10}^{3}k{gm}^{- 3} at 298K298K ) This table implies that :

Options

  1. Aα\alpha has the highest solubility in water at a given pressure
  2. Bsolubility of γ\gamma at 308K308K is lower than at 298K298K
  3. CThe pressure of a 55.555 . 5 molal solution of δ\delta is 250250 bar
  4. DThe pressure of 55.555 . 5 molal solution of γ\gamma is 1bar1bar.

Correct answer

C. The pressure of a 55.555 . 5 molal solution of δ\delta is 250250 bar

Step-by-step solution

(1) From Henery's law P=kH(X)P = {k}_{H}\left(X\right)

Higher the value of kH{k}_{H} smaller will be solubility so γ\gamma is more soluble.

(2) Though solubility of gas will decrease with increase in temperature but this conclusion can not be drawn from the given table.

(3)For

δ⇒Pδ=(KHδ).(X)δ\delta ⇒ {P}_{\delta} = \left({K}_{H \delta}\right) . \left(X\right)\delta

=0.5×103×[55.5555.55+100018]=250bar.= 0 . 5 \times {10}^{3} \times \left[\dfrac{55 . 55}{55 . 55 + \dfrac{1000}{18}}\right] = 250bar .

(4)For γ\gamma

(p)γ=(KH)γ×(x)γ{\left(p\right)}_{\gamma} = {\left({K}_{H}\right)}_{\gamma} \times {\left(x\right)}_{\gamma}

=2×10−2[55.555.5+100018]=10−2bar= 2 \times {10}^{- 2}\left[\dfrac{55 . 5}{55 . 5 + \dfrac{1000}{18}}\right] = {10}^{- 2}bar

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