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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 the temperature reached to `327^(@)C`. If the initial pressure was `1.0 atm`, then find the value of ln `P_(2)`
`(` Given `: ln 2=0.7)`

A

`1.75 atm`

B

`0.176 atm`

C

`1.0395 atm`

D

`2.0atm`

Text Solution

Verified by Experts

The correct Answer is:
1

For isoentropic process `DeltaS_("system")=0`
`:.nC_(p.m.)ln.(T_(2))/(T_(1))+nRln.(P_(1))/(P_(2))=0`
`rArrln.(P_(2))=(5)/(2)xxln((600)/(300))=1.75atm`
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