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)`

Options

A. `1.75` atm
B. `0.176` atm
C. `1.0395` atm
D. `2.0 atm`

Answer

A

Explanation

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"`