Question

Consider the reaction

N₂ (g) + 3 H₂ (g) → 2 NH₃ (g)

The equality relationship between $fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction space and space fraction numerator negative straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction$ is:

$fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction space equals space minus space 1 third fraction numerator straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction$
$fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction space equals space minus space 2 over 3 fraction numerator straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction$
$plus fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction space equals space minus 3 over 2 fraction numerator straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction$
$fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction space equals space minus space fraction numerator straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction$

Solution

fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction space equals space minus space 2 over 3 fraction numerator straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction

For the reaction,
N₂ (g) + 3 H₂ (g) → 2 NH₃ (g)
$The space rate space of space reaction space straight w. straight r. straight t space straight N subscript 2 space space equals negative fraction numerator straight d left square bracket straight N subscript 2 right square bracket over denominator dt end fraction The space rate space of space reaction space straight w. straight r. straight t space straight H subscript 2 equals space fraction numerator negative 1 over denominator 3 end fraction fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction The space rate space of space reaction space straight w. straight r. straight t space NH subscript 3 space equals space plus 1 half fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction Hence comma space at space straight a space fixed space time fraction numerator straight d left square bracket straight N subscript 2 right square bracket over denominator dt end fraction space equals space minus space 1 third fraction numerator straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction space equals space plus 1 half fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction plus fraction numerator straight d left square bracket NH subscript 3 right square bracket over denominator dt end fraction space equals space minus space 2 over 3 fraction numerator straight d left square bracket straight H subscript 2 right square bracket over denominator dt end fraction minus fraction numerator 2 straight d left square bracket straight N subscript 2 right square bracket over denominator 2 end fraction$

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Chemical Kinetics

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

What will be the effect of temperature on rate constant?

A reaction is 50% complete in 2 hours and 75% complete in 4 hours. What is the order of the reaction.

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