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Rate of Reaction

For the react...

Question

For the reaction, $2 N_{2} O_{5} (g) ⟶ 4 N O_{2} (g) + O_{2} (g)$ , if the concentration of $N O_{2}$ increases by $5.2 \times 10^{- 3} M$ in $100$ sec, then the rate of reaction is:

A

1.3 \times 10^{- 5} M s^{- 1}

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B

5 \times 10^{- 4} M s^{- 1}

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C

7.6 \times 10^{- 4} M s^{- 1}

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D

2 \times 10^{- 3} M s^{- 1}

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E

2.5 \times 10^{- 5} M s^{- 1}

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Solution

The correct option is B $1.3 \times 10^{- 5} M s^{- 1}$
$ϑ = \frac{1}{4} \frac{d}{d t} [{N O}_{2}] = \frac{1}{4} (5.2 \times 10^{- 5} M s^{- 1}) = 1.3 \times 10^{- 5} {M s}^{- 1}$

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Similar questions

Q. The reaction of

O_{3}

with chlorine atom is given as:

O_{3} (g) + C l (g) ⟶ O_{2} (g) + C l O (g);

k_{1} = 5.2 \times 10^{9} L {m o l}^{- 1} {s e c}^{- 1}

C l O (g) + O (g) ⟶ C l (g) + O_{2} (g);

k_{2} = 2.6 \times 10^{10} L {m o l}^{- 1} {s e c}^{- 1}

Which of these values is closest to the rate constant of the overall reaction?

O_{3} (g) + O (g) ⟶ 2 O_{2} (g)

Q. A first order reaction,

2 N_{2} O (g) ⟶ 2 N_{2} (g) + O_{2} (g)

, has a rate constant of

1.3 \times 10^{- 11} s^{- 1}

270^{o} C

4.5 \times 10^{- 10} s^{- 1}

350^{o} C

. What is the activation energy for this reaction?

Q. The rate constant for the reaction,

N_{2} O_{5} (g) ⟶ 2 N O_{2} (g) + \frac{1}{2} O_{2} (g)

2.3 \times 10^{- 2} {s e c}^{- 1}

. Which equation given below describes the change of

[N_{2} O_{5}]

{[N_{2} O_{5}]}_{0}

{[N_{2} O_{5}]}_{t}

corresponds to concentration of

N_{2} O_{5}

initially and time

t

Q. The reaction,

2 N_{2} O_{5} \to 4 N O_{2} + O_{2}

, was studied and the following data were collected:

Expt. No.	$[N_{2} O_{5}]$ $(m o l L^{- 1})$	Rate of disappearance of $N_{2} O_{5}$ $(m o l L^{- 1} {m i n}^{- 1})$
$1.$	$1.13 \times 10^{- 2}$	$34 \times 10^{- 5}$
$2.$	$0.84 \times 10^{- 2}$	$25 \times 10^{- 5}$
$3.$	$0.62 \times 10^{- 2}$	$18 \times 10^{- 5}$

Determine (i) order the reaction, (ii) the rate law, and (iii) rate constant for the reaction.

Q. The rate constant of the reaction,

2 H_{2} O_{2} (a q .) \to 2 H_{2} O (l) + O_{2} (g)

3 \times 10^{- 3} {m i n}^{- 1}

.
At what concentration of

H_{2} O_{2}

, the rate of the reaction will be

2 \times 10^{- 4} M s^{- 1}

?

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