When 5 litres of a gas mixture of methane and propane is perfectly combusted at 0^ C and 1 atmosphere, 16 litres of oxygen at the same temperature and pressure is consumed. The amount of heat released from the

Correct answer: B. 317 The chemical and their mole reaction can be expressed as follows aligned CH_4+2 O_2 & arrow CO_2+H_2 O C_3 H_8+5 O_2 & arrow 3 CO_2+4 H_2 O CH_4+C_3 H_8 & =(5)/(22.4)=0.22 moles O_2 & =(16)/(224)=0.71 moles 2 x+(0.22-x) 5 & =0.71 x & =0.13 Heat liberated & =0.13 × 890+0.09 & =316 ~kJ aligned

NEET 2013

Exam: NEET
Year: 2013
Subject: Chemistry
Chapter: Thermodynamics (C)

NEET 2013 · Chemistry · Thermodynamics (C)

When 5 litres of a gas mixture of methane and propane is perfectly...

When 5 litres of a gas mixture of methane and propane is perfectly combusted at

0^{\circ} \mathrm{C} and 1 atmosphere, 16 litres of oxygen at the same temperature and pressure is consumed. The amount of heat released from the combustion in kJ

\left(\triangle \mathrm{H}_{\text{eomb }}\left(\mathrm{CH}_4\right)\right. =890 \mathrm{~kJ} \mathrm{~mol}^{-1}, \Delta \mathrm{H}_{\text{comb }}\left(\mathrm{C}_3 \mathrm{H}_8\right)=2220 \mathrm{~kJ}

\left.\mathrm{mol}^{-1}\right)

Options

A38
B317
C477
D32 benzyl

Correct answer

B. 317

Step-by-step solution

The chemical and their mole reaction can be expressed as follows

\begin{aligned} \mathrm{CH}_4+2 \mathrm{O}_2 & \rightarrow \mathrm{CO}_2+\mathrm{H}_2 \mathrm{O} \\ \mathrm{C}_3 \mathrm{H}_8+5 \mathrm{O}_2 & \rightarrow 3 \mathrm{CO}_2+4 \mathrm{H}_2 \mathrm{O} \\ \mathrm{CH}_4+\mathrm{C}_3 \mathrm{H}_8 & =\frac{5}{22.4}=0.22 \text{ moles } \\ \mathrm{O}_2 & =\frac{16}{224}=0.71 \text{ moles } \\ 2 x+(0.22-x) 5 & =0.71 \\ \mathrm{x} & =0.13 \\ \text{ Heat liberated } & =0.13 \times 890+0.09 \\ & =316 \mathrm{~kJ} \end{aligned}

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