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Q.

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 this combustion in kJΔHcomb. CH4=890 kJ mol-1,ΔHcomb. C3H8=2220 kJ mol-1is

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a

38

b

317

c

477

d

32

answer is B.

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Detailed Solution

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Let volume of CH4=x
Volume of C3H8=(5x)
CH4+2O2CO2+2H2O
Volume of O2 for comburstion of ‘x’ liters. of CH4
1 lit. of CH4=2 lit. of O2
x lit. of CH4 = ?
O2 V for combustion of CH4=2x Litre
C3H82+5O23CO2+4H2O
Volume of O2 for comburtion of (5–x) lits. of
C3H8.1 lit. C3H8=5 lit of O2(5x) lit. =5(5x) lit. 
Total volume of O2=2x+5(5x)=16
=2x+255x=16=3x=9x=3 lit. 
Mixture contains 3 lit. CH4 and 2 lit. C3H8 Total heat released = heat released from 3
lit. of CH4 + heat released from 2 lit. of C3H8 
Heat released from CH4 
22.4 lits. = 890 KJ
3 lit. = ?
=890×322.4
Heat released from C3H8
22.4 lit. = 2220kJ2 lit. =?=2220×222.4
Total heat released
=890×322.4+2220×222.4=2670+444022.4=317kJ

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