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You really don't have to write all that differential equations.

Note: I'll write all my steps on a paper, since MathJax formatting is a little difficult for metime-taking at the moment.

Consider the rate laws for the two reactions: enter image description here

Since the $\ce{[(CH3)3C+]}$ isn't changing with time, we get enter image description here

From which, you get

enter image description here

Plugging these in the Rate2 which I mentioned, you will get, enter image description here

Which is the same as what's given in option (D).

I hope I have satisfied your queries.

You really don't have to write all that differential equations.

Note: I'll write all my steps on a paper, since MathJax formatting is a little difficult for me.

Consider the rate laws for the two reactions: enter image description here

Since the $\ce{[(CH3)3C+]}$ isn't changing with time, we get enter image description here

From which, you get

enter image description here

Plugging these in the Rate2 which I mentioned, you will get, enter image description here

Which is the same as what's given in option (D).

I hope I have satisfied your queries.

You really don't have to write all that differential equations.

Note: I'll write all my steps on a paper, since MathJax formatting is a little time-taking at the moment.

Consider the rate laws for the two reactions: enter image description here

Since the $\ce{[(CH3)3C+]}$ isn't changing with time, we get enter image description here

From which, you get

enter image description here

Plugging these in the Rate2 which I mentioned, you will get, enter image description here

Which is the same as what's given in option (D).

I hope I have satisfied your queries.

Source Link

You really don't have to write all that differential equations.

Note: I'll write all my steps on a paper, since MathJax formatting is a little difficult for me.

Consider the rate laws for the two reactions: enter image description here

Since the $\ce{[(CH3)3C+]}$ isn't changing with time, we get enter image description here

From which, you get

enter image description here

Plugging these in the Rate2 which I mentioned, you will get, enter image description here

Which is the same as what's given in option (D).

I hope I have satisfied your queries.