Calculate the work done when 2 moles of an ideal gas expand from a volume of $5 \mathrm{dm}^3$ to $7 \times…

Calculate the work done when 2 moles of an ideal gas expand from a volume of $5 \mathrm{dm}^3$ to $7 \times 10^{-3} \mathrm{~m}^3$ against a constant external pressure of $2.02 \times 10^5 \mathrm{Nm}^{-2}$.
  1. $20.2 \mathrm{~kJ}$
  2. $202 \mathrm{~kJ}$
  3. $-35.0 \mathrm{~kJ}$
  4. $-404 \mathrm{~kJ}$

Solution

W.D. $=-P\left(v^2-v^1\right)$ $\begin{aligned} & =2.02 \times 10^5(7-5) \\ & =-404 \times 10^3 \mathrm{~J} \\ & =-404 \mathrm{~kJ}\end{aligned}$

Asked in: MHT CET 2022 (10 Aug Shift 2)

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