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One litre of a gas weighs 2g at 300 K an...

One litre of a gas weighs `2g` at `300 K` and 1 tm pressure. If the pressure is changed to `0.75` atm at which of the following temperatures, will one litre of the same gas weight `1 g`?

A

`450 K`

B

`600 K`

C

`800 K`

D

`900 K`

Text Solution

Verified by Experts

The correct Answer is:
a
According to ideal gas equation,
`PV = nRT = w//M RT`
For a particular gas :
`(P_(1)V_(1))/(P_(2)V_(2)) = (n_(1)RT_(1))/(n_(2)RT) = (w_(1)RT_(1))/(w_(2)RT_(2))`
`(1 xx 1)/(0.75 xx 1) = (2 xx R xx 300)/(1 xx R xx T_(2))`
or `T_(2) = 2 xx 300 xx 0.75 = 450 K`
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Knowledge Check

  • One litre of a gas weighs 2 g at 300 K and 1 atm pressure . It the pressure is made. 0.75 atm at which of the following temperatures will one litre of the same gas weigh one gram ?

    A
    450 K
    B
    600 K
    C
    800 K
    D
    900 K

  • One litre of a gas weights 2 g at 300 K and 1 atm pressure. If the pressure is made 0.75 atm at which of the following temperature will one litre of the same gas weight one gram ?

    A
    450 K
    B
    600 K
    C
    800 K
    D
    900 K

  • One litre of gas weighs 2 g at 300 K and 1 atm pressure the pressure is made 0.75 atm at which of the following temperatures will one litre of the same gas weigh one gram

    A
    450 K
    B
    600 K
    C
    800 K
    D
    900 K

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