Question #7d310

2 Answers
Jan 26, 2015

The volume of a palladium atom = 1.08xx10^(-20)mul

V=1.08xx10^(-23)cm^3

There are 10^(3)cm^3 in 1 litre

So V=1.08xx10^(-26) litre

There are 10^6mul in 1 litre

So V=1.08xx10^(-20)mul

Jan 26, 2015

You're dealing with a very simple unit conversion problem. Here's how to interpret such problems.

You were given a volume in "cm"^3 and asked to convert this volume to muL. To do this, you must be familiar with two things: "1 cm"^3 is equal to "1 mL" and that "1 L" is equal to 10^(3) "mL", and to 10^6 muL.

You can do this several ways, I"ll show you two ways.

1.08 * 10^(-23)"cm"^3 * ("1.0 mL")/("1.0 cm"^3) * (10^3muL)/("1.0 mL") = 1.08 * 10^(-20) muL

Notice that you go from "cm"^3 to "mL" using the first conversion factor and from "mL" to muL using the second one. You should really play around with going from one multiple to another, it's the only way to get good at doing this.

Here's another way you could have solved this

1.08 * 10^(-23)"cm"^3 * ("1.0 mL")/("1.0 cm"^3) * (10^(-3)"L")/("1.0 mL") * (10^(6)muL)/("1.0 L") = 1.08 * 10^(-20)muL

Same result, only this time you've converted to liters first, and then to microliters.