A closed container of volume $V$ has $n$ moles of ideal gas. Calculate by what factor will the pressure increase if the absolute temperature is increased by a factor of 2.

\frac{2}{(n R)}

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2nR

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\frac{2}{n}

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\frac{2}{R}

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Solution

The correct option is B 2
The ideal gas equation for n moles , $P V = n R T$
As closed container so V will be constant and n and R also are constants.
So, $P \propto T$
Since T is increased by factor 2 then pressure will be increased by 2.

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You might be familiar with the ideal gas equation from Chemistry, which relates the pressure and volume of an ideal gas with temperature as: $P V$ = $n R T$ , where $n R$ is a constant. You are given a closed metal container of volume $V$ , filled with a gas kept at a temperature $T$ , and pressure $P$ . If $γ$ is the coefficient of volume expansion for the gas, what is the pressure after the temperature is increased by $Δ T$ ?