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Question: What will be the amount of heat evolved by burning 10 L of methane under standard conditions? (Given...

What will be the amount of heat evolved by burning 10 L of methane under standard conditions? (Given heats of formation of CH4,CH_{4}, CO2CO_{2} and H2OH_{2}Oare

76.2,398.8and241.6kJmol1- 76.2, - 398.8and - 241.6kJmol^{- 1} respectively)

A

805.8kJ805.8kJ

B

398.8kJ398.8kJ

C

359.7kJ359.7kJ

D

640.4kJ640.4kJ

Answer

359.7kJ359.7kJ

Explanation

Solution

: CH4+2O2CO2+2H2OCH_{4} + 2O_{2} \rightarrow CO_{2} + 2H_{2}O

ΔH=HPHR\Delta H = H_{P} - H_{R}

}{- \left\lbrack \Delta H_{f}^{o}(CH_{4}) + 2\Delta H_{f}^{o}(O_{2}) \right\rbrack}$$ $= - 398.8 - 2 \times 241.6 - ( - 76.2 + 2 \times 0) = - 805.8kJmol^{- 1}22.4LofCH_{4}$ (1 mole) gives $805.8kJ$ 10 L of $CH_{4}$will give,$\frac{805.8}{22.4} \times 10 = 359.73kJ$