A certain mass of a gas occupies volume of $250 \mathrm{~mL}$ at $2 \mathrm{~atm}$. Pressure. Calculate the…

A certain mass of a gas occupies volume of $250 \mathrm{~mL}$ at $2 \mathrm{~atm}$. Pressure. Calculate the volume of gas if pressure is increased to $2.5 \mathrm{~atm}$ at constant temperature.
  1. 352.0 mL
  2. 300.0 mL
  3. 200 mL
  4. 443.0 mL

Solution

$\begin{aligned} & \mathrm{P}_1 \mathrm{~V}_1=\mathrm{P}_2 \mathrm{~V}_2 \\ & 2 \times 250=2.50 \times \mathrm{V}_2(\mathrm{~m} \ell) \\ & \mathrm{V}_2=\frac{2 \times 250}{2.5} \\ & =200 \mathrm{~m} \ell \end{aligned}$ $\begin{aligned} & \mathrm{P}_1 \mathrm{~V}_1=\mathrm{P}_2 \mathrm{~V}_2 \\ & 2 \times 250=2.50 \times \mathrm{V}_2(\mathrm{~m} \ell) \\ & \mathrm{V}_2=\frac{2 \times 250}{2.5} \\ & =200 \mathrm{~m} \ell\end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 2)

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