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For a reaction 2NH(3)rarrN(2)+3H(2) , it...

For a reaction `2NH_(3)rarrN_(2)+3H_(2)` , it is observed that `(-d(NH_(3)))/(dt)=k_(1)(NH_(3)),(d(N_(2)))/(dt)=k_(2)(NH_(3)),(d(H_(2)))/(dt)=k_(3)(NH_(3))`
What is the relation between `k_(1),k_(2) and k_(3)`?

A

`k_(1) = k_(2) = k_(3)`

B

`3k_(1) = 6k_(2) = 2k_(3)`

C

`2k_(1) = 3k_(2) = 6k_(3)`

D

`6k_(1) = 3k_(2) = 2k_(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`2NH_(3) to N_(2) + 3H_(2)`
Rate `= - (1)/(2) (d[NH_(3)])/(dt) = (d[N_(2)])/(dt) = (1)/(3) (d[h_(2)])/(dt)`
`(1)/(2) k_(1) [NH_(3)] = k_(2) [H_(3)] = (1)/(3) k_(3) [NH_(3)]`
`3 k_(1) = 6k_(2) = 2k_(3)`
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