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A sample of air from an industrial plant was tested and found to contain 49.33 mircograms/m3 of soot particles. What mass (in ng) would be inhaled in each 0.500 L breath?Give your answer correct to three significant figures.Group of answer choices24.7 ng0.0298 ng32.5 x 106 ng1.21 ng

Question

A sample of air from an industrial plant was tested and found to contain 49.33 mircograms/m3 of soot particles. What mass (in ng) would be inhaled in each 0.500 L breath?Give your answer correct to three significant figures.Group of answer choices24.7 ng0.0298 ng32.5 x 106 ng1.21 ng

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Solution

First, we need to convert the volume of each breath from liters to cubic meters, since the concentration of soot particles is given in micrograms per cubic meter.

1 cubic meter (m^3) is equal to 1000 liters (L), so 0.500 L is equal to 0.0005 m^3.

Next, we multiply the concentration of soot particles by the volume of each breath to find the mass of soot particles inhaled in each breath:

49.33 micrograms/m^3 * 0.0005 m^3 = 0.024665 micrograms

Since 1 microgram is equal to 1000 nanograms (ng), we convert the mass of soot particles from micrograms to nanograms:

0.024665 micrograms * 1000 = 24.665 ng

Rounding to three significant figures, the mass of soot particles inhaled in each 0.500 L breath is 24.7 ng.

So, the correct answer is 24.7 ng.

This problem has been solved

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