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If [tex]1.4\%[/tex] of the mass of a human body is calcium, how many kilograms of calcium are there in a 195-pound man?

A. [tex]6.0 \times 10^2 \text{ kg Ca}[/tex]
B. 6.0 kg Ca
C. [tex]1.2 \times 10^2 \text{ kg Ca}[/tex]
D. 1.2 kg Ca

Answer :

To find out how much calcium is in a 195-pound man, we need to do a few conversions and calculations.

1. Convert body weight from pounds to kilograms:
We know that 1 pound is approximately 0.453592 kilograms.

[tex]\[
\text{Body mass in kg} = 195 \text{ pounds} \times 0.453592 \text{ kg/pound}
\][/tex]

So, the body mass in kilograms is approximately 88.45 kg.

2. Calculate the amount of calcium:
We're given that 1.4% of the body's mass is calcium.

[tex]\[
\text{Calcium mass in kg} = 88.45 \text{ kg} \times \frac{1.4}{100}
\][/tex]

So, the calcium mass is approximately 1.238 kg.

Given these steps, the closest option for the amount of calcium is 1.2 kg.

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