Assume that a small sugar cube has sides 1 cm long. If you had a box containing 1 mol of cubes and lined them up side by side, how long would the line be (1 mol = 6.02 x 10^23)?

To find the length of the line formed by lining up 1 mole of sugar cubes, we need to determine the total number of cubes in one mole and then multiply it by the length of each cube.

In the question, it is given that one mole is equal to 6.02 x 10^23. This value represents the Avogadro's number, which is the number of particles (atoms, molecules, or in this case sugar cubes) in one mole of a substance.

Since each cube has a side length of 1 cm, the length of each cube can be represented as 1 cm.

To find the total length of the line, we need to multiply the number of cubes in one mole by the length of each cube:

Total length = Number of cubes x Length of each cube

Number of cubes = 6.02 x 10^23 cubes (Avogadro's number)

Length of each cube = 1 cm

Plugging in the values:

Total length = (6.02 x 10^23) x (1 cm)

To multiply these values, we can represent 1 cm as 0.01 meters (since 1 centimeter is equal to 0.01 meters).

Total length = (6.02 x 10^23) x (0.01 meters)

Now we can calculate the total length:

Total length = 6.02 x 10^23 x 0.01 meters

The result of this multiplication gives us the length in meters.

To find out the length of the line formed by lining up 1 mol of sugar cubes side by side, we can calculate the total length of all the cubes and convert it to the desired units.

1 mole of sugar cubes is equal to 6.02 x 10^23 cubes.

Each cube has sides measuring 1 cm, so the length of one cube is 1 cm.

To find the total length, we can multiply the number of cubes by the length of one cube:

Total length = number of cubes x length of one cube

Total length = (6.02 x 10^23) x 1 cm

Now, to convert this length to a more manageable unit, let's change cm to meters.

1 meter = 100 cm

Total length (meters) = (6.02 x 10^23) x 1 cm / 100

Total length (meters) = 6.02 x 10^21 meters

Therefore, the line formed by lining up 1 mol of sugar cubes side by side is approximately 6.02 x 10^21 meters long.