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Certain amount of a gas occupies a volum...

Certain amount of a gas occupies a volume of 0.4 litre at `17^@C` . To what temperature should it be heated so that its volume gets reduced to half pressure remaining constant ?

Text Solution

Verified by Experts

The correct Answer is:
`-128^(@)C`
`V_(1) = 400 mL , V_(2) = ?`
`T_(1)= 17 + 273 = 290 K, T_(2) = ?`
According to Charles Law.
`(V_(1))/(T_(2)) = (V_(2))/(T_(2))` or `T_(2) = (V_(2) xx T_(1))/(V_(1)) = ((200 mL) xx (290 K))/((400 mL)) = 145 K = - 128^(@)C`
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