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Question: The reaction, <img src="https://cdn.pureessence.tech/canvas_480.png?top_left_x=642&top_left_y=697&wi...

The reaction, 2SO3(g)2 \mathrm { SO } _ { 3 ( g ) } is carried out in a 1dm3d m ^ { 3 }vessel and 2dm32 \mathrm { dm } ^ { 3 } vessel separately. The ratio of the reaction velocities will be.

A

1:81 : 8

B
C

4:14 : 1

D

8:18 : 1

Answer

8:18 : 1

Explanation

Solution

2SO2(g)+O2(g)2 \mathrm { SO } _ { 2 } ( g ) + O _ { 2 } ( g )

For R=k[SO2]2[O2]R = k \left[ \mathrm { SO } _ { 2 } \right] ^ { 2 } \left[ O _ { 2 } \right]

R=K[1T]2[11]=1R = K \left[ \frac { 1 } { T } \right] ^ { 2 } \left[ \frac { 1 } { 1 } \right] = 1

For 2dm32 d m ^ { 3 } R=K[12]2[12]=18R = K \left[ \frac { 1 } { 2 } \right] ^ { 2 } \left[ \frac { 1 } { 2 } \right] = \frac { 1 } { 8 }

So, the ratio is 8 : 1