Home
Class 12
CHEMISTRY
Calculate work done by 1 mole of ideal g...

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.

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`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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 .

1 mole of an ideal gas expand isothermally and reversibly from a pressure of 10 atm to 1 atm at 300K. Calculate the height to which an object of 50 kg can be lifed by this expansion.

Knowledge Check

  • 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 moles of an ideal gas are compressed isothermally and reversibly at 200°C from a pressure of 1 atm to a pressure of S atm. Then

    A
    `DeltaU=0,DeltaH=0`
    B
    `DeltaUne0,DeltaH=0`
    C
    `DeltaU=0,DeltaHne0`
    D
    `DeltaUne0,DeltaHne0`
  • 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?

    A
    `31842 kg`
    B
    `58.55kg`
    C
    `342.58 kg`
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    10 moles of an ideal gas expand isothermally and reversibly from a pressure of5 atm to 1 atm at300 K . What is the largest mass that can be lefted through a height of 1 metre by this expansion?

    2 moles of H_2 at 5 atm expands isothermally and reversibly at 57^@C to 1 atm. Work done is

    Work done in expansion of an ideal gas from 6 litre to 10 litre against a constant external pressure of 2.5 atm was

    Calculate the work done when 1 mole of a gas expands reversibly and isothermally from 5 atm to 1 atm at 300 K. [Value of log 5 = 0.6989].

    What will be the work done when one mole of a gas expands isothermally from 15 L to 50 L against a constant pressure of 1 atm at 25^(@)C ?