Search any question & find its solution
Question:
Answered & Verified by Expert
Calculate the final volume when 2 moles of an ideal gas expand from $3 \mathrm{dm}^3$ at constant external pressure 1.6 bar and the work done in the process is $800 \mathrm{~J}$.
Options:
Solution:
1514 Upvotes
Verified Answer
The correct answer is:
$8.0 \mathrm{dm}^3$
$\begin{aligned} & \mathrm{W}=-\mathrm{P}_{\text {ext }} \Delta \mathrm{V}=-\mathrm{P}_{\text {ext }}\left(\mathrm{V}_2-\mathrm{V}_1\right) \\ & \mathrm{V}_1=3 \mathrm{dm}^3 \\ & \mathrm{~V}_2=? \\ & \mathrm{P}_{\text {ext }}=1.6 \text { bar } \\ & \mathrm{W}=-800 \mathrm{~J}=8 \mathrm{dm}^3 \text { bar }\left(\because 100 \mathrm{~J}=1 \mathrm{dm}^3 \text { bar }\right) \\ & -8=-1.6\left(\mathrm{~V}_2-3\right) \\ & \mathrm{V}_2-3=5 \\ & \mathrm{~V}_2=8 \mathrm{dm}^3\end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.