Home
Class 11
CHEMISTRY
The work done in adiabatic compression o...

The work done in adiabatic compression of `2` mole of an ideal monoatomic gas by constant external pressure of `2 atm` starting from initial pressure of `1 atm` and initial temperature of `30 K(R=2 cal//"mol-degree")`

A

360 cal

B

720 cal

C

800 cal

D

1000 cal

Text Solution

Verified by Experts

The correct Answer is:
B
`w=DeltaU=n underset(T_(1))overset(T_(2))intC_(vm)dT`
`w=2xx(R )/(gamma-1)(T_(2)-T_(1))`
`(T_(2)-T_(1))/(gamma-1)=-P_("ext")((T_(2))/(P_(2))-(T_(1))/(P_(1)))`
`(T_(2)-300)/((5)/(3)-1)=-2((T_(2))/(2)-(300)/(1))`
`1.5 T_(2)-450 =-T_(2)+600implies T_(2)=420 K`
`w=2xx(2)/((5)/(3)-1)(420-300)=720`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    NARENDRA AWASTHI|Exercise Level 1 (Q.1 To Q.30)|6 Videos

  • THERMODYNAMICS

    NARENDRA AWASTHI|Exercise Level 1 (Q.31 To Q.60)|2 Videos

  • STOICHIOMETRY

    NARENDRA AWASTHI|Exercise Level 3 - Subjective Problems|20 Videos

Similar Questions

Explore conceptually related problems

The work done (in Cal) in adiabatic compression of 2 moles of an ideal monatomic gas by the constant external pressure of 2 atm starting from an initial pressure of 1 atm and an intial temperature of 300 K is : [R="2cal/mol "-K]

1 mole of monoatomic ideal gas subjected to irreversible adiabatic expansion against constant external pressure of 1 atm starting from initial pressure of 5 atm and initial temperature of 300K till the final pressure is 2 atm. What is the final temperature (in K) in the process? (take R = 2 cal/mol K).

One mole of an ideal monoatomic gas at 27^(@) C expands adiabatically against constant external pressure of 1 atm from volume of 10 dm^(3) to a volume of 20 dm^(3) .

One mole of an ideal monoatomic gas at 1 atm, 300 K undergo a process in which pressure of gas is 8 atm then calculate W (in cal).

Calculate work done by 1 mole of ideal gas expand isothermally and irreversibly from pressure of 5 atm to 2 atm against a constant external pressure of 1 atm at 300 K temperature.

5 mole of an ideal gas is compressed isothermally at 293K by using 5atm external pressure from initial pressure 0.3atm to 0.7atm , find net heat released (in KJ)