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For a reaction 2NO(g)+H(2)(g)rarrN(2)O(...

For a reaction `2NO(g)+H_(2)(g)rarrN_(2)O(g)+H_(2)O(g)` the rate law is dp `(N_(2)O)// dt=k(P_(NO))^(2)(P_(H_(2)))` The half life of the reaction when `(P_(NO))_(0)=10 mmHg` and `(P_(H_(2)))_(0) =1200` mmHg is found to be 830 s The half life when `(P_(NO))_(0)=20 mmHg` and `(P_(H_(2)))_(0)=1200` mmHg will be

A

830s

B

415 s

C

1245 g

D

208s

Text Solution

Verified by Experts

Since `(p_(H_(2))) gt gt (p_(NO))_(0)` the reaction follows second-order kinetics with respect to NO. Thus, if the pressure of NO is doubled, its half-life becomes half.
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