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Question: Observe the following reaction : A(g) + 3B(g) ® 2C(g) The rate of this reaction\(\left\{ \frac{- d...

Observe the following reaction :

A(g) + 3B(g) ® 2C(g)

The rate of this reaction{d[A]dt}\left\{ \frac{- d\lbrack A\rbrack}{dt} \right\} is 3 × 10–3mollitre–1 min–1. What is the value of d[B]dt\frac{- d\lbrack B\rbrack}{dt} in mollitre–1 min–1‑?

A

3 × 10–3

B

9 × 10–3

C

10–3

D

1.5 × 10–3

Answer

9 × 10–3

Explanation

Solution

d[A]dt\frac{- d\lbrack A\rbrack}{dt} = – 13\frac { 1 } { 3 } d[B]dt\frac{d\lbrack B\rbrack}{dt}

\ d[B]dt\frac{- d\lbrack B\rbrack}{dt} = 3{d[A]dt}\left\{ \frac{- d\lbrack A\rbrack}{dt} \right\} = 3 × 3 × 10–3

= 9 × 10–3 mol litre–1 min–1‑