b555`s question

An engine using 1 mole of an ideal gas initially at V1 = 33.2 litre and 400 K performs a cycle ABCDA consisting of four steps: (1) an isothermal expansion at T = 400 K to twice its initial volume (AB), (2) cooling at constant volume to T = 300 K (BC), (3) an isothermal compression to its original volume (CD) and heating at constant volume to its original temperature at 400 K (DA).

question: Net work done for the cyclic process ABCDA is [where R = gas constant

10 Answers

1
kishan nageswaran ·

100Rlog2

39
Dr.House ·

explanatin baba

1
skygirl ·

edited the thing ..

1) isothermal expansion

so, WAB = + 400nRlog(v2/v1)

= + 400nRlog2

2) isochoric proc. so, work done =0

3) isothermal contraction

so, WCD = 300nRlog(v1/v2)

= - 300nRlog[1/2] = - 300nRlog2

4) zero work done.

so net work done = 100nRlog2.

1357
Manish Shankar ·

why the signs are opposite in calculating work

1
skygirl ·

oh shit ...

i thot one is expansion ... n the other contraction dats y....

1
skygirl ·

okie wat wrong did i think ?

1357
Manish Shankar ·

The final magnitude of work will itself tell, if it was expansion or compression

so don't make these mistakes

1
skygirl ·

ok i got my mistake..

1357
Manish Shankar ·

then correct it if you want to be pinked

1
skygirl ·

[1]

hmm.. i will remember [1]

thanx ...

n for the pink [3]

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