JEE MAIN - Chemistry (2019 - 8th April Evening Slot - No. 1)

For the solution of the gases w, x, y and z in water at 298K, the Henrys law constants (KH) are 0.5, 2, 35 and 40 kbar, respectively. The correct plot for the given data is :-
JEE Main 2019 (Online) 8th April Evening Slot Chemistry - Solutions Question 114 English Option 1
JEE Main 2019 (Online) 8th April Evening Slot Chemistry - Solutions Question 114 English Option 2
JEE Main 2019 (Online) 8th April Evening Slot Chemistry - Solutions Question 114 English Option 3
JEE Main 2019 (Online) 8th April Evening Slot Chemistry - Solutions Question 114 English Option 4

Explanation

Henry's law expression,

Pgas = KH $$ \times $$ xgas

Here, Pgas = partial pressure of gas

KH = Henry’s law constant

xgas = mole fraction of gas

$$ \because $$ xgas = 1 - xH2O

$$ \therefore $$ Pgas = KH $$ \times $$ (1 - xH2O)

$$ \Rightarrow $$ Pgas = KH - KH $$ \times $$xH2O

By comparing this equation with y = mx + c,

c = KH = Intercept

m = - KH = slope

So in partial pressure vs mole fraction of water graph, which gas has more KH will have more intercept. Given (KH) are 0.5, 2, 35 and 40 kbar for w, x, y, z respectively. So intercept of z should be the most and should be the least.

As solpe is = - KH, so slope shoul be negative for all the gases and w gas should have least negative slope and z should have highest negative slope.

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