2 moles of an ideal gas expands isothermally from $5 \mathrm{dm}^3$ to $10 \mathrm{dm}^3$ at a constant…

2 moles of an ideal gas expands isothermally from $5 \mathrm{dm}^3$ to $10 \mathrm{dm}^3$ at a constant external pressure of 1.5 bar. Calculate work done.
  1. $7.5 \mathrm{dm}^3$ bar
  2. $-7.5 \mathrm{dm}^3$ bar
  3. $22.5 \mathrm{dm}^3$ bar
  4. $-22.5 \mathrm{dm}^3$ bar

Solution

$\begin{aligned} & \mathrm{V}_{\mathrm{l}}=5 \mathrm{dm}^3, \mathrm{~V}_2=10 \mathrm{dm}^3, \mathrm{P}_{\mathrm{ext}}=1.5 \mathrm{bar} \\ & \mathrm{W}=-\mathrm{P}_{\mathrm{ext}}\left(\mathrm{V}_2-\mathrm{V}_1\right)=-1.5(10-5)=-7.5 \mathrm{dm}^3 \mathrm{bar}\end{aligned}$

Asked in: MHT CET 2024 (11 May Shift 1)

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