Question

4. Complete the following unit conversions. Be sure to show all work, express your answer in the appropriate number of significant figures, and include units.

a. 30.0 pm^2 to m^2

Answer 1

To convert from picometer squared (pm^2) to meter squared (m^2), we need to divide by 10^24 since there are 10^12 picometers in a meter and we are squaring both the length and the width.

30.0 pm^2 = 30.0 x (1 pm / 10^-12 m)^2 = 30.0 x (10^12 m/pm)^2 = 30.0 x 10^24 m^2/pm^2

Now we need to divide by 10^24 to get the answer in m^2:

30.0 pm^2 = 30.0 x 10^24 m^2/pm^2 / 10^24 = 3.00 x 10^-19 m^2

Therefore, 30.0 pm^2 is equal to 3.00 x 10^-19 m^2