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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 :

We start with a mass of nitrogen given as

[tex]$$245 \, \text{mg}.$$[/tex]

To convert this from milligrams to grams, we use the conversion factor

[tex]$$1 \, \text{g} = 1000 \, \text{mg}.$$[/tex]

So, dividing by 1000:

[tex]$$245 \, \text{mg} \times \frac{1 \, \text{g}}{1000 \, \text{mg}} = 0.245 \, \text{g}.$$[/tex]

Next, we convert grams to kilograms using

[tex]$$1 \, \text{kg} = 1000 \, \text{g}.$$[/tex]

Dividing the number of grams by 1000 gives:

[tex]$$0.245 \, \text{g} \times \frac{1 \, \text{kg}}{1000 \, \text{g}} = 0.000245 \, \text{kg}.$$[/tex]

Thus, the mass of the nitrogen in kilograms is

[tex]$$0.000245 \, \text{kg}.$$[/tex]

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