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In a reaction 2A + B to 3C, the concent...

In a reaction `2A + B to 3C`, the concentration of A decreases from 0.5 mol `L^(-11)` to 0.3 mol `L^(-1)` in 10 minutes. The rate of production of 'C during this period is:

A

`0.01 ml L ^(-1) min ^(-1) `

B

`0.04 mol L ^(-1) min ^(-1)`

C

`0.05 mol L ^(-1) min ^(-1)`

D

`0.03 mol L ^(-1) min ^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Rate of decrases in concentration of A
`- ((d A)/( dt)) = ( 0.5 - 0.3)/(10) = (0.2)/(10) = 0.02`
From the equation
`2 A + B to 3C`
`- (d[A])/( 2 xx dt) = - (d [B])/( dt) = + ( d [C])/(3 dt)`
Thus, the rate of production of C,
`(d[c])/(dt) = (3)/(2) xx (d [c])/(dt)`
`= 3/2xx` rate of decrease in concentration of A
`= 3/2 xx 0.02 = 0.03 mol L ^(-1) min ^(-1)`
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