5 mole of an ideal gas expand isothermally and irreversibly from a pressure of 10 atm to 1 atm against a constant external pressure of 2 atm. `w_(irr)` at 300 K is :
Text Solution
Verified by Experts
`int dW = -int P_("ext")dv` `W_("irr") = -P_("ext")[V_(2)-V_(1)] = -P_("ext")((nRT)/(P_(2))-(nRT)/(P_(1))) = -P_("ext") xx nRT((1)/(P_(2))-(1)/(1P_(1)))` `= -1 xx 1 xx .082 xx 300 ((1)/(2)-(1)/(5)) = -1 xx .082 xx 300 xx (3)/(10) = -7.38 L. atm = -747.8 J` `W_("irr") = -0.7478 KJ`
Topper's Solved these Questions
THERMODYNAMICS
RESONANCE ENGLISH|Exercise C-6|1 Videos
THERMODYNAMICS
RESONANCE ENGLISH|Exercise D-1|1 Videos
THERMODYNAMICS
RESONANCE ENGLISH|Exercise C-4|1 Videos
TEST SERIES
RESONANCE ENGLISH|Exercise CHEMISTRY|50 Videos
Similar Questions
Explore conceptually related problems
5 mole of an ideal gas expand isothermally and irreversibly from a pressure of 10 atm to 1 atm against a constant external pressure of 1 atm. w_(irr) at 300 K is : (a) -15.921 kJ (b) -11.224 kJ (c) -110.83 kJ (d)None of these
10 mole of ideal gas expand isothermally and reversibly from a pressure of 10atm to 1atm at 300K . What is the largest mass which can lifted through a height of 100 meter?
At 27^(@)C , one mole of an ideal gas is compressed isothermally and reversibly from a pressure of 2 atm to 10 atm. Calculate DeltaU and q .
One mole of a gas is allowed to expand adiabatically and irreversibly from a volume of 4 litres to a volume of 8 litres against the constant external pressure of one atm. Calculate internal energy change (Delta U) of system.
At 27^(@)C , one mole of an ideal gas is compressed isothermally and reversibly from a pressure of 20atm to 100 atm . Calculate DeltaE and q.(R = 2 calK^(-1)mol^(-1))
1 mole of an ideal gas undergoes an isothermal reversible expansion form 10 atm to 1 atm at 300 K. What will be the work done ?
Two moles of an ideal monoatomic gas at 5 bar and 300 K are expanded irreversibly up to a final pressure of 1 bar and 240 K against an external pressure of 0.5 bar. The work done by the gas is -xR . The value of x' is (Here 'R' is gas constant)
One mol of an ideal diatomic gas underwent an adiabatic expansion form 298K, 15.00atm , and 5.25L to 2.5atm against a constant external pressure of 1.00atm . What is the final temperature of the system?
The work done during the expanision of a gas from a volume of 4 dm^(3) to 6 dm^(3) against a constant external pressure of 3 atm is (1 L atm = 101.32 J)
The work done during the expanision of a gas from a volume of 4 dm^(3) to 6 dm^(3) against a constant external pressure of 3 atm is (1 L atm = 101.32 J)