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Sedbober [7]
3 years ago
14

Consider a piston filled with 3 mols of an ideal gas, kept at a constant temperature 290 K. We slowly compress the gas starting

at 2 m3 and ending at 1 m3. How much work do we need to do on the gas to perform this operation
Physics
1 answer:
kap26 [50]3 years ago
5 0

Answer: -5013.65\ J

Explanation:

Given

No of moles n=3

Temperature T=290\ K

Initial volume V_1=2\ m^3

Final volume V_2=1\ m^3

Work done in constant temperature process is

W=nRT\ln \left(\dfrac{V_2}{V_1}\right)

Insert the values

\Rightarrow W=3\times 8.314\times 290\ln \left (\dfrac{1}{2}\right)\\\\\Rightarrow W=-870\times 8.314\times \ln (2)\\\Rightarrow W=-5013.65\ J

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