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Question: For a reaction \(R \rightarrow P\), the concentration of a reactant changes from \(0.05M\) to \(0.04...

For a reaction RPR \rightarrow P, the concentration of a reactant changes from 0.05M0.05M to 0.04M0.04M in 30 minutes. What will be the average rate of reaction in minutes?

A

4×104Mmin14 \times 10^{- 4}M\min^{- 1}{}

B

8×104Mmin18 \times 10^{- 4}M\min^{- 1}{}

C

3.3×104Mmin13.3 \times 10^{- 4}M\min^{- 1}{}

D

2.2×104Mmin12.2 \times 10^{- 4}M\min^{- 1}{}

Answer

3.3×104Mmin13.3 \times 10^{- 4}M\min^{- 1}{}

Explanation

Solution

Average rate =Δ[R]Δt=([R][R]1)t2t1= - \frac{\Delta\lbrack R\rbrack}{\Delta t} = - \frac{(\lbrack R\rbrack - \lbrack R\rbrack_{1})}{t_{2} - t_{1}}

=(0.040.05)30=0.0130=3.3×104Mmin1= - \frac{(0.04 - 0.05)}{30} = \frac{0.01}{30} = 3.3 \times 10^{- 4}M\min^{- 1}{}