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Question
100 mL of a gaseous mixture contains 38% of CH4, 35% of H2 and 12% of C2H4 and 15% of СО. This mixture was mixed with 200 mL of oxygen and was exploded. Calculate the volume and the composition of the resulting mixture when cooled to room temperature and pressure.
Numerical
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Solution
Given:
CH4 = 38 mL, H2 = 35 mL, C2H4 = 12 mL, CO = 15 mL
Total O2 added = 200 mL
Oxygen consumed:
For CH4 = 38 × 2 = 76 mL
For H2 = `35/2` = 17.5 mL
For C2H4 = 12 × 3 = 36 mL
For CO = `15/2` = 7.5 mL
Total O2 used = 76 + 17.5 + 36 + 7.5 = 137 mL
CO2 produced:
From CH4 = 38 mL
From C2H4 = 12 × 2 = 24 mL
From CO = 15 mL
Total CO2 = 38 + 24 + 15 = 77 mL
Final Mixture (at room temperature):
Remaining O2 = 200 − 137 = 63 mL
CO2 produced = 77 mL
Total Volume = 63 + 77 = 140 mL
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