hen 5 litres of a gas mixture of methane and propane is perfectly combusted at 0℃ and 1 atmosphere,16litresvof oxygen at the same temperature and pressure is consumed.T he amount of heat released from this combustion in kJ?

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Let volume of methane be x L
 volume of propane be (5 – x) L
For methane,
        CH4 g 2 O2 g CO2 g 2H2O
x 2x
   l
Volume reacted:
For propane,
    3 8 2 2 2 C H 5O 2CO 4H O
5 x 5 5 x
  
Volume reacted:  
We know, 16 L of oxygen is consumed.
 2x + 5 (5 – x) = 16
or, 2x + 25 – 5x = 16
or, 25 – 3x = 16
 x = 3
So, volume of methane combusted = 3 L
 Moles of methane combusted =
3
22.4
mol
Energy due to methane combusted =
3
890
22.4
 kJ
Volume of propane combusted = 2 L
 Moles of propane combusted =
2
22.4
mol
 Energy due to propane combusted =
2
2220
22.4
 kJ
 Total energy released
=
3 2
890 2220
22.4 22.4
⎛ ⎞
⎜    ⎟
⎝ ⎠
kJ
=   1
3 890 4440 kJ
22.4
 
=   1
2670 4440 kJ
22.4
 = 317.41 kJ
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