10 ml of a mixture of CH 4 , C 2 H 4 and CO 2 was exploded with excess of air. After explosion there was a contraction of 17 ml and after treatment with KOH, there was further reduction of 14ml. Find volume of CO 2 in 20 mL of original mixture (in mL).
Text Solution
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(3)
Volume of H 2 O produced = 17 mL; Volume of CO 2 produced = 14 mL
Total volume of CO 2 = volume of CO 2 initially + volume of CO 2 produced = 14 ml
suppose volume of CH 4 and C 2 H 4 in the mixture x and y ml respectively
volume of CO 2 produced on explosion = 14 – (10 – x – y) = (4 + x + y) ml
POAC for C, H and O
for C, 1 × mole of CH 4 + 2 × mole of C 2 H 4 = 1 × mole of CO 2
x + 2y = 4 + x + y y = 4
for H, 4x + 4y = 2 × mole of H 2 O ......... (i)
for O, 2 × mole of O 2 = 2 × (4 + x + y) + mole of H 2 O ......... (ii)
for equation (i) and (ii)
mole of O 2 = (4 + 2x + 2y) (use in explosion)
in explosion reaction
volume of reactant – volume of product = 17 ml
(x + y) + (4 + 2x + 2y) – (4 + x + y) = 17
2x + 2y = 17 ......... (iii)
from equation (i) and (iii)
volume of CH 4 = 4.5, volume of C 2 H 4 = 4 ml, volume of CO 2 = 1.5 ml
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