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.)

Question

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.) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Moles of C 3 H 8=(11/44)=0.25 moles PV = nRT ⇒ 2 × 106 × 2 × 10-3=0.25 × 8.3 × T ⇒ T =1927.710 K =1654.56° C

Moles of C3​H8​=4411​=0.25 moles PV=nRT ⇒2×106×2×10−3=0.25×8.3×T ⇒T=1927.710K=1654.56∘C

Moles of $C_{3} H_{8} = \frac{11}{44} = 0.25$ moles
$P V = n RT$
$\Rightarrow 2 \times 1 0^{6} \times 2 \times 1 0^{- 3} = 0.25 \times 8.3 \times T$
$\Rightarrow T = 1927.710 K = 1654.5 6^{\circ} C$