4.82 μg of BPA is found in a plastic bottle having a mass of 300.0 g. What is the concentration of BPA in parts per billion (ppb) in this plastic?
Question
4.82 μg of BPA is found in a plastic bottle having a mass of 300.0 g. What is the concentration of BPA in parts per billion (ppb) in this plastic?
Solution
To calculate the concentration of BPA in parts per billion (ppb), you need to follow these steps:
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Convert the mass of the plastic bottle to micrograms (μg), since the mass of BPA is given in μg. We know that 1 gram (g) is equal to 1,000,000 micrograms (μg). So, 300.0 g is equal to 300.0 * 1,000,000 = 300,000,000 μg.
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Now, calculate the concentration of BPA in the plastic bottle. The concentration (C) in ppb is calculated as:
C(ppb) = (mass of BPA / mass of the plastic bottle) * 1,000,000,000
Substituting the given values into the formula, we get:
C(ppb) = (4.82 μg / 300,000,000 μg) * 1,000,000,000 = 16.07 ppb
So, the concentration of BPA in the plastic bottle is approximately 16.07 ppb.
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