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Question
A combustible gas is stored in a metal tank at a pressure of 2.98 atm at 25°C. The tank can withstand a maximum pressure of 12 atm after which it will explode. The building in which the tank has been stored catches fire. Now predict whether the tank will blow up first or start melting? (Melting point of the metal = 1100 K).
Solution
Pressure of the gas in the tank at its melting point
T = 298 K; P1 = 2.98 atom; T2 = 1100 K; P2 = ?
`"P"_1/"T"_1 = "P"_2/"T"_2`
P2 = `"P"_1/"T"_1 xx "T"_2`
= `(2.98 "atm")/(298 "K") xx 1100 "K"`
= 11 atm
At 1100 K the pressure of the gas inside the tank will become 11 atm. Given that tank can withstand a maximum pressure of 12 atm, the tank will start melting first.
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