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 in `P_(2)` `(` Given `: ln 2=0.7)`
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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