10 cm^3 of a normal specimen of human blood contains 1.2 g of hemoglobin. How many grams does 17 cm^3 of the same blood contain?
1.7 times as much. Do you see why?
To solve this problem, we can set up a proportion to find the ratio between the volume of blood and the mass of hemoglobin. Here's how:
Step 1: Set up the proportion:
Let's assume x represents the mass of hemoglobin in 17 cm^3 of blood.
10 cm^3 → 1.2 g
17 cm^3 → x g
Step 2: Set up the proportion equation:
Using the proportion, we can set up the equation:
10 cm^3 / 1.2 g = 17 cm^3 / x g
Step 3: Solve the equation:
To solve for x, we can cross-multiply the values and then divide:
10 cm^3 * x g = 1.2 g * 17 cm^3
10x = 20.4
x = 20.4 / 10
x = 2.04 g
Therefore, 17 cm^3 of the same blood contains 2.04 grams of hemoglobin.