If the pressure of a gas increases by $2 \%$ at constant volume, then its temperature

If the pressure of a gas increases by $2 \%$ at constant volume, then its temperature
  1. increases by $2 \%$
  2. decreases by $2 \%$
  3. does not change
  4. decreases by $1 \%$

Solution

Using ideal gas equation, $\mathrm{PV}=\mathrm{nRT}$ Volume is constant, $\begin{aligned} & \frac{P}{T}=\frac{n R}{V}=\text { constant } \\ & P \propto T\end{aligned}$ If pressure increase by $2 \%$ than temperature is also increase by $2 \%$

Asked in: AP EAMCET 2023 (18 May Shift 1)

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