# 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'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%

(i) 66.66%,33.33% (ii) 33.33%,66.66% (iii) 50%,50% (iv) 60%,40%

Expert's answer

The reactions propane and butane with oxygen:

C

C

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

volume of CO

x 3x

C

(3-x) 5*(3-x)

C

Total volume of CO

3x + 5*(3-x) = 10

3x + 15 - 5x = 10

2x = 5

x = 2.5

Initial composition of propane is 2.5/3*100 = 83.33%

Initial composition of butane is 16.67%

C

_{3}H_{8}+ 5O_{2}--> 3CO_{2}+ 4H_{2}OC

_{4}H_{10}+ 6.5O2 --> 5H_{2}O + 4CO_{2}If volume of propane is x , the volume of butane is 3-x. Than

volume of CO

_{2}isx 3x

C

_{3}H_{8}+ 5O_{2}--> 3CO_{2}+ 4H_{2}O(3-x) 5*(3-x)

C

_{4}H_{10}+ 6.5O_{2}--> 5H_{2}O + 4CO_{2}Total volume of CO

_{2}is:3x + 5*(3-x) = 10

3x + 15 - 5x = 10

2x = 5

x = 2.5

Initial composition of propane is 2.5/3*100 = 83.33%

Initial composition of butane is 16.67%

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