JEE Main · 2024 · 29 Jan 2024 · Shift 1 · Heat & Thermodynamics

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Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1g of oxygen.

P_{A}

and

P_{B}

are the pressures of the gases in A and B respectively, then

\frac{P _{A}}{P _{B}}

is :

(A)16✓ Correct
(B)8
(C)4
(D)32

Answer: (A)

Solution

Same volume

V

and temperature

T

for both gases, so

P V = n R T \Rightarrow P \propto n

n_{H_{2}} = \frac{1}{2}, n_{O_{2}} = \frac{1}{32}

\frac{P _{A}}{P _{B}} = \frac{n _{H_{2}}}{n _{O_{2}}} = \frac{1/2}{1/32} = 16

Key confirmed: A.

JEE Main · 2024 · 29 Jan 2024 · Shift 1 · Single correct option

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