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When 5 litres of a gas mixture of methane and propane is perfectly combusted at 0o C and 1 atmosphere, 16 litre of oxygen at the same temperature and pressure is consumed. The amount of heat released from this combustion in kJ (\Delta H_{comb}(CH_4))= 890 \:\:kJ\:\:mol^{-1}, \:\: \Delta H_{comb}(C_3H_8)=2220\: kJ\: mol^{-1}) is

  • Option 1)

    32

  • Option 2)

    38

  • Option 3)

    317

  • Option 4)

    477

 

Answers (1)

 

Enthalpy of combustion -

Amount of Enthalpy change when 1 mole of substance is completly burn in excess of Oxygen

-

wherein

CO_{(g)}+\frac{1}{2}O_{2}(g)\rightarrow CO_{2(g)}+283\ KJ

\Delta H_{comb} \: of\: CO= 283\, KJ

 

 CH_4+2O_2\rightarrow CO_2+2H_2O

 

C_3H_8+5O_2\rightarrow 3CO_2+4H_2O

 

Total number of mole of CH_4+C_3H_8= \frac{5L}{22.4L}=0.22 

Total number of mole of O_2O_2= \frac{0.16}{22.4}= 0.71 mol

 

2x+(0.22-x)5= 0.71

\therefore x= 0.13

Heat liberated = 0.13*890+0.09*2220= 317 kJ


Option 1)

32

Incorrect option

Option 2)

38

Incorrect option

Option 3)

317

Correct option

Option 4)

477

Incorrect option

Posted by

Sabhrant Ambastha

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