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Question
What is the half-life of the first order reaction CH3CHO(g)→CH4(g)+CO(g), if an initial pressure of CH3CHO(g) is 80 mm and the total pressure at the end of 20 minutes is 120 mm?
What is the half-life of the first order reaction CH3CHO(g)→CH4(g)+CO(g), if an initial pressure of CH3CHO(g) is 80 mm and the total pressure at the end of 20 minutes is 120 mm?
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Solution
The correct option is C 20 min
The inital presure of CH3CHO(g) is 80 mm.
After 20 minutes, let x be the change in the pressure of CH3CHO(g).
Total pressure will be (P0−x)+x+x=P0+x=80+x=120mmHg
Hence, x=40mm.
Thus the pressure of CH3CHO(g) after 20 min is reduced to 80−40=40mm. Thus it is reduced to half.
Thus 20 min is the half life period.
The inital presure of CH3CHO(g) is 80 mm.
After 20 minutes, let x be the change in the pressure of CH3CHO(g).
Total pressure will be (P0−x)+x+x=P0+x=80+x=120mmHg
Hence, x=40mm.
Thus the pressure of CH3CHO(g) after 20 min is reduced to 80−40=40mm. Thus it is reduced to half.
Thus 20 min is the half life period.
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