JEE Main · 2023 · 31 Jan 2023 · Shift 1 · States of Matter

The total pressure of a mixture of non-reacting gases

X (0.6 g)

and

Y (0.45 g)

in a vessel is 740 mm of Hg. The partial pressure of the gas X is ______ mm of Hg. (Nearest Integer)
(Given : molar mass

X = 20

and

Y = 45 g mol^{- 1}

)

Answer: 555

Solution

The amount of X is

\frac{0.6}{20} = 0.03 mol

and that of Y is

\frac{0.45}{45} = 0.01 mol

. The mole fraction of X is

\frac{0.03}{0.03 + 0.01} = 0.75

. By Dalton's law the partial pressure of X is

0.75 \times 740 = 555 mm Hg

JEE Main · 2023 · 31 Jan 2023 · Shift 1 · Integer answer

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