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. `2.0atm`

Answer

1

Explanation

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`