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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

Verified by Experts

`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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Knowledge Check

  • A cylinder contained 10kg of gas at pressure 10^(7) N / m^(2) . The quantity of gas taken out of cylinder if final pressure is 2.5 xx 10^(6) N//m^(2) is (Assume temperature of gas is constant)

    A
    `9.5 ` kg
    B
    `7.5` kg
    C
    `14.2` kg
    D
    zero