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Question: For the reaction \(N_{2} + 3H_{2} \rightarrow 2NH_{3}\) how are the rate of reaction expression inte...

For the reaction N2+3H22NH3N_{2} + 3H_{2} \rightarrow 2NH_{3} how are the rate of reaction expression inter related d[H2]dt\frac{d\lbrack H_{2}\rbrack}{dt} and d[NH3]dt?\frac{d\lbrack NH_{3}\rbrack}{dt}?

A

13d[H2]dt=+12d[NH3]dt- \frac{1}{3}\frac{d\lbrack H_{2}\rbrack}{dt} = + \frac{1}{2}\frac{d\lbrack NH_{3}\rbrack}{dt}

B

12d[H2]dt=+13d[NH3]dt- \frac{1}{2}\frac{d\lbrack H_{2}\rbrack}{dt} = + \frac{1}{3}\frac{d\lbrack NH_{3}\rbrack}{dt}

C

+12d[H2]dt=13d[NH3]dt+ \frac{1}{2}\frac{d\lbrack H_{2}\rbrack}{dt} = - \frac{1}{3}\frac{d\lbrack NH_{3}\rbrack}{dt}

D

+13d[H2]dt=12d[NH3]dt+ \frac{1}{3}\frac{d\lbrack H_{2}\rbrack}{dt} = - \frac{1}{2}\frac{d\lbrack NH_{3}\rbrack}{dt}

Answer

13d[H2]dt=+12d[NH3]dt- \frac{1}{3}\frac{d\lbrack H_{2}\rbrack}{dt} = + \frac{1}{2}\frac{d\lbrack NH_{3}\rbrack}{dt}

Explanation

Solution

For the reaction N2+3H22NH3N_{2} + 3H_{2} \rightarrow 2NH_{3}

13d[H2]dt=+12d[NH3]dt- \frac{1}{3}\frac{d\lbrack H_{2}\rbrack}{dt} = + \frac{1}{2}\frac{d\lbrack NH_{3}\rbrack}{dt}