High School

A sample of nitrogen in a glass bulb has a mass of 245 mg. What is this mass in kilograms?

(Note: 1,000 mg = 1 g, 1,000 g = 1 kg.)

Answer :

Sure! Let's convert the mass of nitrogen from milligrams to kilograms step by step.

1. Convert milligrams to grams:
We know that 1,000 milligrams (mg) make up 1 gram (g). Therefore, to convert the mass from milligrams to grams, we divide the given mass by 1,000.
[tex]\[
\text{Mass in grams} = \frac{245 \, \text{mg}}{1,000} = 0.245 \, \text{g}
\][/tex]

2. Convert grams to kilograms:
Similarly, we know that 1,000 grams make up 1 kilogram (kg). So, to convert the mass from grams to kilograms, we divide the mass in grams by 1,000.
[tex]\[
\text{Mass in kilograms} = \frac{0.245 \, \text{g}}{1,000} = 0.000245 \, \text{kg}
\][/tex]

Therefore, the mass of the nitrogen in kilograms is 0.000245 kg.