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Question: For the reaction \(N_{2}(g) + 3H_{2}(g) \rightarrow 2NH_{3}(g)\) under certain conditions of tempera...

For the reaction N2(g)+3H2(g)2NH3(g)N_{2}(g) + 3H_{2}(g) \rightarrow 2NH_{3}(g) under certain conditions of temperature and partial pressure of the reactants, the rate of formation of NH3NH_{3} is 0.001kgh10.001kgh^{- 1}. The rate of conversion of H2H_{2} under the same conditions is.

A

1.82×104kg/hr1.82 \times 10^{- 4}kg/hr

B

0.0015kg/hr0.0015kg/hr

C

1.52×104kg/hr1.52 \times 10^{4}kg/hr

D

1.82×1014kg/hr1.82 \times 10^{- 14}kg/hr

Answer

0.0015kg/hr0.0015kg/hr

Explanation

Solution

dN2dt=13dH2dt=12dNH3dt\frac{- dN_{2}}{dt} = \frac{- 1}{3}\frac{dH_{2}}{dt} = \frac{1}{2}\frac{dNH_{3}}{dt}

dH2dt=32×0.001=0.0015kghr1.\frac{dH_{2}}{dt} = \frac{3}{2} \times 0.001 = 0.0015kghr^{- 1}.