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In order to increase the volume of a gas...

In order to increase the volume of a gas by 10%, the pressure of the gas should be `:`

A

decreased by 10%

B

decreased by 1%

C

increased by 10%

D

increased by 1%

Text Solution

Verified by Experts

The correct Answer is:
A
According to Boyle.s law, `pV=` constant
or `p_(1) V_(1) = p_(2) V_(2)`
If `V_(2) = V_(1) + ( V_(1) xx 10)/( 100) = 1.1 V_(1)`
`p_(2) = ( p_(1)V_(1))/( V_(2)) = ( p _(1) xx V_(1))/( 1.1V_(1)) = 0.9 p_(1) `
% Decrease in pressure
`= ( ( p_(1) - 0.9 p_(1))/( p_(1)))xx 100 = 10%`
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Knowledge Check

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

    A
    `5%`
    B
    `5.26%`
    C
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    D
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    B
    increase in rate of collisions
    C
    increase in molecular attraction
    D
    increase in mean free path

  • At constant volume, for a fixed number of moles of a gas the pressure of the gas increases with rise of temperature due to

    A
    1. increase in average molecular speed
    B
    2. increased rate of collision amongst molecules
    C
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    D
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