Verified Solution • 2025–26 Session moderate

QJEEM22Ch9e5f: JEE Main 2022 Chemistry - Class 11 JEEM22Ch9e5f Solution: A sealed flask with a capacity of 2 dm 3 contains 11 g of…

A sealed flask with a capacity of 2 dm3 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 12u and 1u, respectively.) (Assume that propane behaves as an ideal gas.)

Step-by-Step Verified Solution

From ideal gas equation,

PV=nRT\mathrm{PV}=\mathrm{nRT}

P=2×106 PaP=2 \times 10^{6} \mathrm{~Pa}

V=2dm3=2×10−3 m3V=2 \mathrm{dm}^{3}=2 \times 10^{-3} \mathrm{~m}^{3}

R=8.3JK−1 mol−1\mathrm{R}=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}

n=1144 mol\mathrm{n}=\frac{11}{44} \mathrm{~mol}

2×106×2×10−3=1144×8.3×T2 \times 10^{6} \times 2 \times 10^{-3}=\frac{11}{44} \times 8.3 \times \mathrm{T}

T=1927.7 K\mathrm{T}=1927.7 \mathrm{~K}

T(\mathrm{T}\left(\right. in ∘C)=1927.7−273≃1655∘C\left.^{\circ} \mathrm{C}\right)=1927.7-273 \simeq 1655^{\circ} \mathrm{C}

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