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A chemistry graduate student is studying the rate of this reaction:→2NH3g+N2g3H2gHe fills a reaction vessel with NH3 and measures its concentration as the reaction proceeds:time(seconds) NH30 0.0300M0.10 0.00957M0.20 0.00569M0.30 0.00405M0.40 0.00314MUse this data to answer the following questions.Write the rate law for this reaction. rate =k Calculate the value of the rate constant k.Round your answer to 2 significant digits. Also be sure your answer has the correct unit symbol. =k

Question

A chemistry graduate student is studying the rate of this reaction:→2NH3g+N2g3H2gHe fills a reaction vessel with NH3 and measures its concentration as the reaction proceeds:time(seconds) NH30 0.0300M0.10 0.00957M0.20 0.00569M0.30 0.00405M0.40 0.00314MUse this data to answer the following questions.Write the rate law for this reaction. rate =k Calculate the value of the rate constant k.Round your answer to 2 significant digits. Also be sure your answer has the correct unit symbol. =k

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Solution

The rate law for a reaction is determined by the reaction's mechanism, but it can also be approximated experimentally using the method of initial rates. The rate law for this reaction can be written in the general form:

rate = k[NH3]^n

where:

  • rate is the rate of the reaction,
  • k is the rate constant,
  • [NH3] is the concentration of NH3, and
  • n is the order of the reaction with respect to NH3.

To determine the value of n, we can use the method of initial rates. This involves comparing the rates of the reaction at two different initial concentrations of NH3. From the data given, we can use the concentrations at time 0 and time 0.10 seconds:

rate1/rate2 = (k[NH3_1]^n) / (k[NH3_2]^n)

We can solve this equation for n, which gives us the order of the reaction with respect to NH3.

Once we have the value of n, we can determine the rate constant k by rearranging the rate law equation and solving for k:

k = rate / [NH3]^n

We can use the rate and concentration of NH3 at any given time to calculate k.

Please note that the units of k will depend on the order of the reaction. For a first-order reaction, k will have units of s^-1, for a second-order reaction, k will have units of M^-1s^-1, and so on.

However, the data provided does not include the rate of the reaction, so we cannot calculate the value of the rate constant k. We would need additional information, such as the change in concentration of NH3 over a certain time period, to calculate the rate and subsequently the rate constant.

This problem has been solved

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