High School

If 1.4% of the mass of a human body is calcium, how many kilograms of calcium are there in a 173-pound man?

A. 1.1 × 10² kg Ca
B. 1.1 kg Ca
C. 5.3 × 10² kg Ca
D. 5.3 kg Ca

Answer :

Final answer:

To calculate the amount of calcium in a 173-pound man with 1.4% of body mass as calcium, first convert pounds to kilograms (173 lbs to 78.47 kg), then find 1.4% of that mass, which equals approximately 1.1 kg of calcium.

Explanation:

To find how many kilograms of calcium are there in a 173-pound man when 1.4% of the mass of a human body is calcium, we need to convert the man's weight from pounds to kilograms. Then, we calculate 1.4% of that mass.

First, let's convert the weight from pounds to kilograms. Because 1 pound is equivalent to approximately 0.453592 kilograms:

173 pounds × 0.453592 kilograms/pound = 78.47 kilograms

Now, we calculate the mass of calcium by taking 1.4% of the man's body mass in kilograms:

1.4% of 78.47 kilograms = 0.014 × 78.47 kilograms = 1.09858 kilograms

Therefore, the mass of calcium in a 173-pound man is approximately 1.1 kilograms.

The correct answer is b. 1.1 kg Ca.