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Worksheet Worksheet 3

In science courses, you will encounter some interesting units that are built to describe specific situations. Although you may not have any intuition with these, as long as you have a formula and you understand the method, you can be begin to work with the problems.

1.

A mole of objects is \(6.022 \times 10^{23}\) of those objects. For example, a mole of carbon atoms is \(6.022 \times 10^{23}\) carbon atoms. How many molecules of oxygen are in 5.7 moles of oxygen?

2.

An astronomical unit is approximately \(1.496 \times 10^{11}\) meters. This is the approximate distance from the earth to the sun. Mars is approximately 1.52 astronomical units from the sun. About how far is it from the sun to Mars in meters?

3.

Words such as millions and billions can also be used as a unit conversion. This is often used when talking about finances at a state or national level. Earlier, we talked about the $300000000 Mars Climate Orbiter. This could have been written as $300 million.

Write the quantity 2753.78 billion in standard form and using scientific notation.

4.

A light-year is the distance that light can travels in one year in a vacuum. This distance is approximately \(9.46 \times 10^{12}\) kilometers. The distance between the Milky Way galaxy and the Andromeda galaxy is approximately 2.5 million light-years. Approximately how many kilometers is it between the two galaxies?