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An ideal gas is taken through a quasi-st...

An ideal gas is taken through a quasi-static process described by `P = alphaV^(2)`, with `alpha = 5.00 atm//m^(6)`. The gas is expanded to twice its original volume of `1.00 m^(3)`. How much work is done by the gas in expanding gas in this process?

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1.18 MJ
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Knowledge Check

  • One mole of an ideal gas expands isothermally to double its volume at 27^(@)C . The work done by the gas is nearly

    A
    `2760 cal`
    B
    `414 cal`
    C
    `1380 cal`
    D
    `600 cal`

  • A gas expands under constant pressure P from volume V_(1) to V_(2) The work done by the gas is

    A
    `P(V_(2)-V_(1))`
    B
    `P(V_(1)-V_(2))`
    C
    `P(V_(1)^(lambda)-V_(2)^(lambda))`
    D
    `P(V_(1)V_(2))/(V_(2)-V_(1))`

  • 16g oxygen gas expands at STP, to occupy double of its original volume. The work done during the process is:

    A
    260 kcal
    B
    180 kcal
    C
    130 kcal
    D
    272.8 kcal