Question

Suppose you have 2.50 L of a substance with a density of 8.00 g/mL and you want to determine the mass of the substance. The calculation can be broken down into three steps. First, convert the volume from liters to milliliters. Then, determine the mass of the sample in grams. Finally, convert the mass from grams to kilograms. Show the unit analysis by placing the correct components into the unit‑factor slots. The question marks (?) represent the answer to the previous step.

Answer 1

20 kg

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume (V) of substance = 2.50 L

Density (D) of substance = 8.00 g/mL

Mass (m) of substance =?

Next, we shall convert 2.50 L to millilitres (mL). This can be obtained as follow:

1 L = 1000 mL

Therefore,

2.50 L = 2.50 L × 1000 mL / 1 L

2.50 L = 2500 mL

Thus, 2.50 L is equivalent to 2500 mL.

Next, we shall determine the mass of the substance. This can be obtained as follow:

Volume (V) of substance = 2500 mL

Density (D) of substance = 8.00 g/mL

Mass (m) of substance =?

D = m / V

8 = m / 2500

Cross multiply

m = 8 × 2500

m = 20000 g

The mass of the substance is 20000 g.

Finally, we shall convert 20000 g to Kg

This can be obtained as follow:

1000 g = 1 kg

Therefore,

20000 g = 20000 g × 1 kg / 1000 g

20000 g = 20 kg

Therefore, the mass of the substance is 20 Kg