JEE Advanced · PhysicsMedium

$A vessel contains 1 mole of O_{2} gas at a temperature T . The pressure of the gas is P . An additional 1 mole of O_{2} is added to the vessel and the temperature is raised to 2 T . What is the new pressure of the gas in the vessel?$

A. $2 P$
B. $3 P$
C. $4 P$
D. $P$

Show correct answer & step-by-step solution

Correct answer: C — $4 P$

Solution

$Initial state: P V = n R T, where n = 1 .$
$Final state: P^{'} V = n^{'} R T^{'}, where n^{'} = 2 and T^{'} = 2 T .$
$Substituting the values: P^{'} V = (2) R (2 T) = 4 R T .$
$Since P V = R T, we have P^{'} = 4 P .$
$Hence the answer is (C).$

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A vessel contains 1 mole of O2 gas at a temperature T. The pressure of the gas i… — JEE Advanced Physics Question with Solution |