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A glass container encloses a gas a press...

A glass container encloses a gas a pressure of `8 xx 10^(5)` pa and 300 K temperature. The container walls can bear a maximum pressure of `10^(6)` Pa. If the temperature of container is gradually increased, find the temperature at which the container will break.

Text Solution

Verified by Experts

From gas law, we have for a constant volume container
`(P_(1))/(T_(1)) = (P_(2))/(T_(2))`
or `T_(2) = ((P_(2))/(P_(1))) = T_(1)`
Given that `P_(1) = 8 xx 10^(5) Pa, T_(1) = 300 K, P_(2) = 10^(6) Pa`,
then we have
`T_(2) = (10^(6))/(8 xx 10^(5)) xx 300 = 375 K`
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Knowledge Check

  • A glass container encloses gas at a pressure 4 xx10^5 Pa and 300 K temperature. The container walls can bear a maximum pressure of 8 xx10^(5) Pa. If the temperature of container is gradually increased find temperature at which container will break.

    A
    `600 K`
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    `150 K`
    C
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    D
    `375 K`

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    D
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  • Increase in temperature of a gas filled in a container would lead to :

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    decrease in intermolecular distance
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