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

A

`1.75 atm`

B

`0.176 atm`

C

`1.0395 atm`

D

0 atm

Text Solution

Verified by Experts

The correct Answer is:
A

For isoentropic process `Delta S_("system") = 0`
`:. 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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