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One mole of an ideal monoatomic gas at 2...

One mole of an ideal monoatomic gas at `27^(@)C` is subjected to a reversible isoentropic compression until final temperature reaches `327^(@)C`. If the initial pressure was 1.0 atm then find the value of ln `P_(2)`:

A

`1.75` atm

B

`0.176` atm

C

`1.0395` atm

D

2.0 atm

Text Solution

Verified by Experts

The correct Answer is:
A
For isoentropic process `DeltaS_("system")=0`
`therefore" "nC_(p,m)"ln"(T_(2))/(T_(1))+"nR ln"(P_(1))/(P_(2))=0`
`rArr" ln"(P_(2))=(5)/(2)xx"ln"((600)/(300))`
`=1.75"atm"`
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