If 1.4% of the mass of a human body is calcium, how many kilograms of calcium are there in a 173-pound man? There are 2.2 lbs. in one kilogram. OPTIONS: 5.3 kg Ca 1.1 kg Ca 1.1 × 10^2 kg Ca 7.2 kg Ca 5.3 × 10^2 kg Ca
The Correct Answer and Explanation is:
To calculate the amount of calcium in a 173-pound man, we need to use the following steps:
- Convert the weight from pounds to kilograms:
Since 1 kilogram is equivalent to 2.2 pounds, we divide 173 pounds by 2.2 to get the weight in kilograms. Weight in kg=173 lbs2.2 lbs/kg=78.636 kg\text{Weight in kg} = \frac{173 \, \text{lbs}}{2.2 \, \text{lbs/kg}} = 78.636 \, \text{kg}Weight in kg=2.2lbs/kg173lbs=78.636kg - Calculate the mass of calcium:
We are told that 1.4% of the human body is calcium. To find how much calcium is in the 78.636 kg body, we multiply the body mass by 1.4% (or 0.014 in decimal form). Mass of calcium=78.636 kg×0.014=1.1 kg\text{Mass of calcium} = 78.636 \, \text{kg} \times 0.014 = 1.1 \, \text{kg}Mass of calcium=78.636kg×0.014=1.1kg
Thus, the amount of calcium in a 173-pound man is 1.1 kg.
Final Answer:
1.1 kg Ca
This is a straightforward mass-to-mass conversion using percentage calculations. You first convert the weight from pounds to kilograms and then multiply by the given percentage of calcium in the body.
