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The temperature of a gas contained in a ...

The temperature of a gas contained in a closed vessel of constant volume increases by `1^(@)C` when the pressure of the gas is increased by 1%. The initial temperature of the gas is:

A

100 K

B

`273^(@)C`

C

`100^(@)C`

D

200 K

Text Solution

Verified by Experts

The correct Answer is:
A
According to Gay Lussac.s law `p prop T`
`therefore (dp)/(p) xx100 =(dT)/(T)xx100`
`1=(1)/(T) xx100`
`rArr T=100 K`
So, correct choice is (a).
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Knowledge Check

  • When a gas enclosed in a closed vessel was heated so as to increase its temperature by 5^(@)C , its pressure was seen to have increased by 1%. The initial temperature of the gas was nearly :

    A
    `500^(@)C`
    B
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    increase to average molecular speed
    B
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    D
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  • At constant volume, for a fixed number of moles of a gas the pressure of the gas increases with rise of temperature due to

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