At `27^(@)C, 4.2 g N_(2)` gas is expanded reversibly and isothermally from a pressure of 10 atm to 1 atm. Calculate `q, Delta U, Delta H` and w for this expansion. Assume `N_(2)` gas behaves ideally.

Explanation

`w= - nRTxx2.303 " log " (P_(1))/(P_(2))`
`=- ((4.2)/(28))xx1.987xx300xx2.303 " log " (10)/(1) =-205.9` cal
Again, `Delta U= q+ w " or " 0 = q+w`
`[because` gas is ideal and the process is isothermal]
`therefore q= - w = 205.9` cal
`Delta H=0 [ because` gas is ideal and the process is isothermal]