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Standard XII

Chemistry

First Order Reaction

A reaction ...

Question

A reaction $2 A + B k \to C + D$ is first order with respect to A and 2nd order with respect to B. Initial conc. $(t = 0)$ of A is $C_{0}$ while B is 2 $C_{0}$ . If at t as 30 minutes the conc. of C is $C_{0} / 4$ then rate expression at $t = 30$ minutes is :

R = 7 C_{0}^{3} k / 16

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R = 27 C_{0}^{3} k / 32

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R = 247 C_{0}^{3} k / 64

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R = 49 C_{0}^{3} k / 32

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Solution

The correct option is D $R = 49 C_{0}^{3} k / 32$
$2 A + B k \to C + D r a t e = k [A] [B]^{2} t = 0 C_{0} 2 C_{0} t = 30 m i n, \frac{C_{0}}{2} \frac{7 C_{0}}{4} R a t e a t t h a t t i m e R a t e = k [\frac{C_{0}}{2}] {[\frac{7 C_{0}}{4}]}^{2} = \frac{49 C_{0}^{3}}{32}$

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A reaction 2A+Bk→C+D is first order with respect to A and 2nd order with respect to B. Initial conc. (t=0) of A is C0 while B is 2 C0. If at t as 30 minutes the conc. of C is C0/4 then rate expression at t=30 minutes is :

The correct option is D R=49C30k/322A+Bk→C+Drate=k[A][B]2t=0C02C0t=30min,C027C04RateatthattimeRate=k[C02][7C04]2=49C3032

A reaction $2 A + B k \to C + D$ is first order with respect to A and 2nd order with respect to B. Initial conc. $(t = 0)$ of A is $C_{0}$ while B is 2 $C_{0}$ . If at t as 30 minutes the conc. of C is $C_{0} / 4$ then rate expression at $t = 30$ minutes is :

The correct option is D $R = 49 C_{0}^{3} k / 32$
$2 A + B k \to C + D r a t e = k [A] [B]^{2} t = 0 C_{0} 2 C_{0} t = 30 m i n, \frac{C_{0}}{2} \frac{7 C_{0}}{4} R a t e a t t h a t t i m e R a t e = k [\frac{C_{0}}{2}] {[\frac{7 C_{0}}{4}]}^{2} = \frac{49 C_{0}^{3}}{32}$