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Byju's Answer

Standard XII

Chemistry

Dalton's Law of Partial Pressures

A sealed flas...

Question

A sealed flask with a capacity of $2 d m^{3}$ contains $11 g$ of propane gas. The flask is so weak that it will burst if the pressure becomes $2 M P a .$ The minimum
temperature at which the flask will burst is _____ $^{\circ} C$ . [Nearest integer]

(Given: $R = 8.3 J K^{- 1} m o l^{- 1},$ Atomic masses of $C$ and $H$ are $12 u and 1 u$ , respectively.) (Assume that
propane behaves as an ideal gas.)

1655

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1655.0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1655.00

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1655

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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Solution

From ideal gas equation,
$P V = n R T$
$P = 2 \times 10^{6} P a$
$V = 2 d m^{3} = 2 \times 10^{- 3} m^{3}$
$R = 8.3 J K^{- 1} m o l^{- 1}$
$n = \frac{11}{44} mol$
$2 \times 10^{6} \times 2 \times 10^{- 3} = \frac{11}{44} \times 8.3 \times T$
$T = 1927.7 K$
$T (in^{\circ} C) = 1927.7 - 273 = 1655^{\circ} C$

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From ideal gas equation, PV=nRT P=2×106 Pa V=2 dm3=2×10–3m3 R=8.3 JK–1mol–1 n=1144 mol 2×106×2×10–3=1144×8.3×T T=1927.7 K T(in ∘C)=1927.7–273=1655∘C