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A certain amount of gas is expanded from...

A certain amount of gas is expanded from a volume of 20 mL to 42.6 mL by the following three processes (i) against zero pressure (ii) against constant external pressure of 1.2 atm (iii) against constant external pressure of 2.0 atm. Calculate the work done in each of the above three processes.

Text Solution

Verified by Experts

(i) w=0
(ii) `w= - P_(ex)(V_(2)-V_(1))= - 1.2 " atm " (42.6 -20)` mL
`=- 2.74 J`
`(iii) w= - P_(ex)(V_(2)-V_(1))= -2` atm (42.6-20) mL = -4.57 J
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Knowledge Check

  • A gas expands from a volume of 1 m^3 to a volume of 2 m^3 against an external pressure of 10^5 Nm^-2 . the work done by the gas will be

    A
    `10^4J`
    B
    `10^2J`
    C
    `10^3J`
    D
    `10^5J`
  • A gas can expand from 100 mL to 250 mL. under a constant pressure of 2 atm. The work done by the gas is

    A
    30.38 J
    B
    25 J
    C
    5 kJ
    D
    16 J
  • A gas is allowed to expand in a well insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. the change in internal energy DeltaU of the gas in joules will be-

    A
    `-500J`
    B
    `-505J`
    C
    `+505J`
    D
    `1136.25J`
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