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What should be the percentage increase i...

What should be the percentage increase in pressure for a 5% decrease in volume of gas at constant temperature ?

Text Solution

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Given, `P_(1)=P, V_(1)=V, T_(1)=T`,
`P_(2) =P_(2), V_(2)=V-(5V)/(100), T_(2)=T`
`P_(1)V_(1)=P_(2)V_(2)`
`rArr PV=P_(2) (V-(5V)/(100))`
`rArr P_(2) =(100)/(95) P=1.0526 P`
`therefore" Increase in P "=0.0526 P`
`therefore %" increase in P "=0.0526xx100=5.26`
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Knowledge Check

  • How much should the pressure be increased in order to decrease the volume of a gas 5% at a constant temprature ?

    A
    0.05
    B
    0.0526
    C
    0.1
    D
    0.0426

  • How much shoud the pressure be increased in order to decreases the volume of a gas by 5\% at a constant temperature

    A
    0.05
    B
    0.0526
    C
    0.1
    D
    0.0426

  • At a constant pressure, what should be the percentage increase in the temperature in kelvin for a 10 % increase in the volume

    A
    `10%`
    B
    `20%`
    C
    `5%`
    D
    `50%`

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