A reaction 2 A - B K - C - D is first order w-r-t- and second order w-r-t- - Initial conc- t -0 of is C 0 while is 2 C 0- If at as 300 minutes the conc- of C is C 0-4 then rate expression at t -300 minutes is A- R -7 C 03 k -16B- R -27 C 03 k -32C- R -247 C 03 k -64D- R -49 C 03 k -32

The correct option is D R=49C^3_0k/322A amp; + amp; B amp; amp; C amp; + amp; D C_0 amp; amp; ^2C_0 x amp; amp; 0 amp; ...

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Byju's Answer

Standard XII

Chemistry

First Order Reaction

A reaction 2 ...

Question

A reaction $2 A + B K - \to C + D$ is first order w.r.t. and second order w.r.t. . Initial conc. (t=0) of is $C_{0}$ while is $2 C_{0}$ . If at as 300 minutes the conc. of C is $\frac{C_{0}}{4}$ then rate expression at t = 300 minutes is

R = 7 C_{0}^{3} \frac{k}{16}

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R = 27 C_{0}^{3} \frac{k}{32}

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R = 247 C_{0}^{3} \frac{k}{64}

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R = 49 C_{0}^{3} \frac{k}{32}

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Solution

The correct option is D $R = 49 C_{0}^{3} \frac{k}{32}$
$\begin{matrix} 2 A & + & B & K - \to & C & + & D C_{0} & ^{2} C_{0} - x & 0 & 0 C_{0} - 2 x & 2 C_{0} - x & x & x \end{matrix}$
$X = \frac{C_{0}}{4} [A] = C_{0} - \frac{C_{0}}{2} = \frac{C_{0}}{2} [B] = 2 C_{0} - \frac{C_{0}}{4} = \frac{7 C_{0}}{4} R = K . [A] [B]^{2} = K . \frac{C_{0}}{2} . {(\frac{7 C_{0}}{4})}^{2} = \frac{49 C_{0}^{3} K}{32}$

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A reaction 2A+BK−→C+D is first order w.r.t. and second order w.r.t. . Initial conc. (t=0) of is C0 while is 2C0. If at as 300 minutes the conc. of C is C04 then rate expression at t = 300 minutes is

The correct option is D R=49C30k322A+BK−→C+DC02C0−x00C0−2x2C0−xxx X=C04[A]=C0−C02=C02[B]=2C0−C04=7C04R=K.[A][B]2=K.C02.(7C04)2=49C30K32

A reaction $2 A + B K - \to C + D$ is first order w.r.t. and second order w.r.t. . Initial conc. (t=0) of is $C_{0}$ while is $2 C_{0}$ . If at as 300 minutes the conc. of C is $\frac{C_{0}}{4}$ then rate expression at t = 300 minutes is