1. Tardigrade
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  4. A sealed flask with a capacity of 2 dm 3 contains 11 g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa. The minimum temperature at which the flask will burst is ° C. [Nearest integer] (Given: R =8.3 J K -1 mol -1. Atomic masses of C and H are 12 u and 1 u respectively.) (Assume that propane behaves as an ideal gas.)

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Q. A sealed flask with a capacity of $2\, dm ^3$ contains $11 \, g$ of propane gas. The flask is so weak that it will burst if the pressure becomes $2\, MPa$. The minimum temperature at which the flask will burst is ______${ }^{\circ} C$. [Nearest integer]
(Given: $R =8.3 \,J \,K ^{-1} mol ^{-1}$. Atomic masses of $C$ and $H$ are $12\, u$ and $1 \,u$ respectively.) (Assume that propane behaves as an ideal gas.)

JEE MainJEE Main 2022States of Matter

Solution:

Moles of $C _3 H _8=\frac{11}{44}=0.25$ moles
$ PV = nRT$
$ \Rightarrow 2 \times 10^6 \times 2 \times 10^{-3}=0.25 \times 8.3 \times T$
$ \Rightarrow T =1927.710 \,K =1654.56^{\circ} C$