College

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 :

To convert the mass of the nitrogen sample from milligrams (mg) to kilograms (kg), follow these steps:

1. Convert milligrams to grams:
- Start with the mass in milligrams, which is 245 mg.
- Use the conversion factor where 1,000 mg is equal to 1 gram.
- Calculate the mass in grams by dividing the mass in milligrams by 1,000:
[tex]\[
\text{mass in grams} = \frac{245 \text{ mg}}{1,000} = 0.245 \text{ g}
\][/tex]

2. Convert grams to kilograms:
- Now, take the mass in grams, which is 0.245 g.
- Use the conversion factor where 1,000 grams is equal to 1 kilogram.
- Calculate the mass in kilograms by dividing the mass in grams by 1,000:
[tex]\[
\text{mass in kilograms} = \frac{0.245 \text{ g}}{1,000} = 0.000245 \text{ kg}
\][/tex]

So, the mass of the nitrogen sample in kilograms is 0.000245 kg.

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