JEE MAIN - Chemistry (2020 - 3rd September Morning Slot - No. 13)

Henry’s constant (in kbar) for four gases $$\alpha $$, $$\beta $$, $$\gamma $$ and $$\delta $$ in water at 298 K is given below :

$$\alpha $$ $$\beta $$ $$\gamma $$ $$\delta $$
KH 50 2 2 $$ \times $$ 10-5 0.5

(density of water = 103 kg m-3 at 298 K)
This table implies that :
solubility of $$\gamma $$ at 308 K is lower than at 298 K
The pressure of a 55.5 molal solution of $$\delta $$ is 250 bar
$$\alpha $$ has the highest solubility in water at a given pressure
The pressure of a 55.5 molal solution of $$\gamma $$ is 1 bar

Explanation

(1) On increasing temperature solubility of gases decreases.

(2) 55.5 molal solution of $$\gamma $$ = 55.5 mol of

P$$\gamma $$ = KHX$$\gamma $$

= 2 $$ \times $$ 10-5 $$ \times $$ $${{55.5} \over {55.5 + {{1000} \over {18}}}}$$

= 10–5 K bar

= 10–2 bar

(3) P$$\delta $$ = KHX$$\delta $$

= 0.5 $$ \times $$ $${{55.5} \over {55.5 + {{1000} \over {18}}}}$$

= 250 bar

(4) With temperature, the value of KH (Henry’s constant) increases and solubility of gas in liquid decreases.

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