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# Answer to Question #21205 in Physical Chemistry for EKANSH

Question #21205
Q. A gas mixture of 3 litres of propane and butane on complete combustion at 25&#039;C produces 10 litres of CO2. Initial composition of propane and butane in the gas mixture is-
(i) 66.66%,33.33% (ii) 33.33%,66.66% (iii) 50%,50% (iv) 60%,40%
1
2018-08-22T05:01:23-0400
The reactions propane and butane with oxygen:

C3H8 + 5O2 --&gt; 3CO2 + 4H2O

C4H10 + 6.5O2 --&gt; 5H2O + 4CO2

If volume of propane is x , the volume of butane is 3-x. Than
volume of CO2 is

x 3x
C3H8 + 5O2 --&gt; 3CO2 + 4H2O

(3-x) 5*(3-x)
C4H10 + 6.5O2 --&gt; 5H2O + 4CO2

Total volume of CO2 is:

3x + 4*(3-x) = 10
3x + 12 - 4x = 10
-2x = -2
x = 2

Initial composition of propane is 2.0/3*100 = 66.66%
Initial composition of butane is 33.34%

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Assignment Expert
22.08.18, 13:01

Thank you Crischal

Crischal
22.08.18, 05:06

For total volume of co2
3x+4(3-x)=10 should be written not 3x+5(3-x)=10.So please correct the solution.