A gas has a volume of $3.4 \mathrm{~L}$ at $298 \mathrm{~K}$. What is the final temperature if the volume of…

A gas has a volume of $3.4 \mathrm{~L}$ at $298 \mathrm{~K}$. What is the final temperature if the volume of gas increase to $6.8 \mathrm{~L}$ ?
  1. $596 \mathrm{~K}$
  2. $412 \mathrm{~K}$
  3. $298 \mathrm{~K}$
  4. $149 \mathrm{~K}$

Solution

$\begin{aligned} & \frac{\mathrm{V}_1}{\mathrm{~T}_1}=\frac{\mathrm{V}_2}{\mathrm{~T}_2} \\ & \frac{3.4}{298}=\frac{6.8}{\mathrm{~T}_2} \\ & \mathrm{~T}_2=\frac{298 \times 6.8}{3.4}=596 \mathrm{~K}\end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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