When 5 moles of an ideal gas is compressed isothermally, its volume decreases from 5 litre to 1 litre. If the gas is at 27^(@)C, find the work done on the gas.

When 5 moles of an ideal gas is compressed isothermally, its volume de

1.	When 5 moles of an ideal gas is compressed isothermally, its volume decreases from 5 litre to 1 litre. If the gas is at 27^(@)C, find the work done on the gas.
Answer» Solution :In the case of .n. MOLES, work done on the gas `W=nRT log_(e ) ((V_(2))/(V_(1)))=nRT xx 2.30 26 xxlog_(10)((V_(2))/(V_(1)))` `R=8.314"J mole"^(-1)K^(-1)`, `T=27+273=300K, V_(1)=1` litre`=10^(-3)m^(3)` `:.V_(2)=5`litre`=5xx10^(-3)m^(3) rArr (V_(2))/(V_(1)) =(1)/(5)` `:.W=5xx8.314 xx 300xx2.3026xx log_(10)((1)/(5))` `=5xx8.314 xx300xx2.3026xx(-0.6990)= -2.007xx10^(4)J`