Question

If a chemical reaction produces product at a steady rate of 3.6 x 1022 molecules per second, how long will it take for the reaction to produce 1.0 x 1020 molecules of product

Answer 1

This problem is providing the number of molecules that are produced per second by a chemical reaction, 3.6 x 10²², and it asks for the time to produce 1.0x10²⁰ molecules. At the end, after the calculations, the result is 0.0028 seconds.

Dimensional analysis:

In chemistry, dimensional analysis is used to determine different variables given certain variables; however, a formula is not always available, so that we should set it up according to the units for the required.

In this case, since we have the rate at which the molecules are produced, and the molecules produced, one can divide these two by making sure the seconds will be taken to the numerator:

$\frac{1.0x10^{20}molec}{3.6x10^{22}molec/s}$

Thus, we cancel out the molecules and move the seconds to the top of the expression and obtain:

$0.0028 sec$

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