For the reaction N_2O_5(g) → 2NO_2(g) + 1/2O_2(g) the value of rate of disappearance of N_2O_5 is given as 6.25 × 10^-3 mol L^-1s^-1 . The rate of for - Chemistry MCQ Chemistry | ExamTest.live

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For the reaction N_{2} O_{5} (g) \to 2 N O_{2} (g) + \frac{1}{2} O_{2} (g) the value of rate of disappearance of N_{2} O_{5} is given as 6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1} . The rate of formation of N O_{2} and O_{2} is given respectively as:

A $1.25 \times 1 0^{- 2} mol L^{- 1} s^{- 1} and 6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1}$
B $6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1} and 6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1}$
C $1.25 \times 1 0^{- 2} mol L^{- 1} s^{- 1} and 3.125 \times 1 0^{- 3} mol L^{- 1} s^{- 1}$
D $6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1} and 3.125 \times 1 0^{- 3} mol L^{- 1} s^{- 1}$

Solution & Step-by-step Explanation

The relationship between rates is derived from stoichiometric coefficients: Rate = - \frac{d [ N _{2} O _{5} ]}{d t} = \frac{1}{2} \frac{d [ N O _{2} ]}{d t} = 2 \frac{d [ O _{2} ]}{d t} Given: - \frac{d [ N _{2} O _{5} ]}{d t} = 6.25 \times 1 0^{- 3} Rate of formation of N O_{2} : \frac{d [ N O _{2} ]}{d t} = 2 \times (- \frac{d [ N _{2} O _{5} ]}{d t}) = 2 \times 6.25 \times 1 0^{- 3} = 12.5 \times 1 0^{- 3} = 1.25 \times 1 0^{- 2} mol L^{- 1} s^{- 1} Rate of formation of O_{2} : \frac{d [ O _{2} ]}{d t} = \frac{1}{2} \times (- \frac{d [ N _{2} O _{5} ]}{d t}) = \frac{1}{2} \times 6.25 \times 1 0^{- 3} = 3.125 \times 1 0^{- 3} mol L^{- 1} s^{- 1}

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For the reaction N_{2} O_{5} (g) \to 2 N O_{2} (g) + \frac{1}{2} O_{2} (g) the value of rate of disappearance of N_{2} O_{5} is given as 6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1} . The rate of formation of N O_{2} and O_{2} is given respectively as:

1.25 \times 1 0^{- 2} mol L^{- 1} s^{- 1} and 6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1}

6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1} and 6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1}

1.25 \times 1 0^{- 2} mol L^{- 1} s^{- 1} and 3.125 \times 1 0^{- 3} mol L^{- 1} s^{- 1}

6.25 \times 1 0^{- 3} mol L^{- 1} s^{- 1} and 3.125 \times 1 0^{- 3} mol L^{- 1} s^{- 1}

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