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An iron cylinder contains helium at a pr...

An iron cylinder contains helium at a pressure of 250 k Pa at 300 K. The cylinder can withstand a pressure of `1 xx 10^6` Pa. The room in which cylinder is placed catches fire. Predict the temperature (in K) at which the cylinder will blow up before it melts or not (m.p.t. of the cylinder =1800K)..

Text Solution

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`P_(1) = 250 k Pa, T_(1) = 300 k , P_(2) = ? T_(2) = 1800K`
Applying pressure - temperature law, `(P_(1))/(T_(1)) = (P_(2))/(T_(2)) , (250)/(300) = (P_(2))/(1800)` or As the cylinder can withstand a pressure of `10^(6) Pa = 10^(3) kPa = 1000` blow up.
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