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If 1.4% of the mass of a human body is calcium, what is the mass of calcium in a 165-pound man?

(1 kg = 2.20462 lbs.)

A. 1.0 g
B. 1.0 x 10² g
C. 5.1 x 10² kg
D. 1.0 x 10² kg
E. 1.0 kg

Answer :

The mass of calcium in a 165-pound man is approximately 1047 grams, which is closest to (c) 5.1 x 10² kg.

To find the mass of calcium in a 165-pound man, we'll first calculate the man's mass in kilograms and then determine the mass of calcium. Given that 1 kg is approximately equal to 2.20462 lbs, we can convert the man's mass from pounds to kilograms.

Man's mass in kilograms:

Mass in kg= Mass in pounds / 2.20462 = 165 lbs / 2.20462 ≈74.84 kg

Now that we know the man's mass in kilograms, we can calculate the mass of calcium. Given that 1.4% of the mass is calcium:

Mass of calcium = (1.4% of 74.84 kg)

First, convert the percentage to a decimal by dividing by 100:

1.4%= 1.4 / 100 =0.014

Now, calculate the mass of calcium:

Mass of calcium=0.014×74.84 kg≈1.047 kg

To express this mass in grams, remember that 1 kg is equal to 1000 grams:

1.047 kg=1.047×1000 g=1047 g

So, the mass of calcium in a 165-pound man is approximately 1047 grams.

The closest answer choice is (c) 5.1 x 10² kg, but it's not accurate because the mass is in grams, not kilograms.

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