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If the volume of the vessel in which the...

If the volume of the vessel in which the reaction `2NO_((g)) + O2_((g)) rarr 2NO_(2(g))` is occurring is diminished to `1//3^(rd)` of its initial volume. The rate of the reaction will be increased by

A

3 times

B

9 times

C

27 times

D

36 times

Text Solution

Verified by Experts

The correct Answer is:
c
For a given reaction
`2NO_((g)) + O_(2(g))hArr2NO_(2(g))`
Rate of reaction = `k[NO]^(2)[O_2]`
Rate of reaction directly proportional to concentration of the compound or inversely proportional to the volume of the vessel.
i.e. `Cpropn/V`
If volume of vessel is reduced by 1/3rd of its initial value, then concentration of compound is increased by 3 times and consequently the rate of reaction by 27 times.
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Knowledge Check

  • If the volume of the vessel in which the reaction 2 NO + O_(2) to 2 NO_(2) is occuring is diminished to 1/3 rd of its initial volume . The rate of the reaction will be increased by

    A
    3 times
    B
    9 times
    C
    27 times
    D
    36 times

  • If the volume of the vessel in which the reaction 2NO+O_2 rarr2NO_2 is occurring is diminished to 1/3 rd of its initial volume . The rate of the reaction will be increased by

    A
    5 times
    B
    8 times
    C
    27 times
    D
    35 times

  • If the volume of the vessel in which the reaction, 2NO+O_2rarr2NO_2 , is occurring is diminished to 1//3^(rd) of its initial volume, then the rate of reaction will be increased by

    A
    3 times
    B
    9 times
    C
    27 times
    D
    36 times

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