Write the differential rate equations for a first order reaction.

For the reaction, R → P, the differential rate equation is -d[R]dt=k[R].
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For a reaction A → B, the rate of reaction can be denoted by – dB / dt or + dA / dt. State the significance of plus and minus sign in this case?

A reaction A → B, the rate of reaction can be denoted by – dB / dt or + dA / dt.

Here minus sign indicates decrease in the concentration of the reactant while plus sign indicates increase in the concentration of the product.
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The following graph is a plot of the rate of reaction versus concentration of the reactant. What is the order of reaction?



The order of reaction is one.
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Write the first order rate equation in an exponential form.


The exponential form of rate equation for first order rection is [R] = [R]0e–kt 
where,
[R]
0 = initial concentration of reactant
[R] = concentration of reactant at time t.
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The following graph is a plot of the rate of reaction versus concentration of the reactant. What is the order of the reaction?



As rate is independent of the concentration, the order of the reaction is zero.
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