In liposuction, a doctor removes fat deposits from a person's body. If body fat has a density of 0.909 g/mL and 1.5 L of fat is removed, how many pounds of are removed from the patient? Express your answer using two significant figures
To find the pounds of fat removed from the patient, we need to convert the volume of fat removed (1.5 L) to its mass and then to pounds.
First, we need to convert L to mL since the density of fat is given in g/mL:
1 L = 1000 mL
So, 1.5 L = 1500 mL
To find the mass of the fat, we multiply the volume by the density:
Mass = Volume x Density
Mass = 1500 mL x 0.909 g/mL
Mass = 1363.5 g
Next, we need to convert grams to pounds.
Since 1 pound is approximately equal to 453.592 grams, we can set up a conversion factor:
1 lb / 453.592 g
So, the number of pounds of fat removed is:
1363.5 g * (1 lb / 453.592 g) ≈ 3.00 lb.
Rounded to two significant figures, the number of pounds of fat removed from the patient is 3.00 lb.
To determine the number of pounds of fat removed from the patient, we need to convert the volume of fat removed from liters to grams and then to pounds.
1. Convert the volume of fat removed from liters to grams:
Given: Density of body fat = 0.909 g/mL
Volume of fat removed = 1.5 L
To convert from liters to milliliters (mL):
1 L = 1000 mL
So, the volume of fat removed in milliliters:
1.5 L = 1.5 * 1000 mL = 1500 mL
Now, we can calculate the mass of fat removed in grams:
Mass = Density * Volume
Mass = 0.909 g/mL * 1500 mL
Mass = 1363.5 g
2. Convert the mass of fat removed from grams to pounds:
Given: 1 pound = 453.592 g
To convert grams to pounds:
Mass (in pounds) = Mass (in grams) / 453.592 g
Mass (in pounds) = 1363.5 g / 453.592 g
Mass (in pounds) ≈ 3 pounds
Therefore, approximately 3 pounds of fat are removed from the patient.
To find the number of pounds of fat removed from the patient, we need to convert the volume of fat from liters to grams, and then convert grams to pounds. Here's how you can do it:
Step 1: Convert volume from liters to milliliters.
Since 1 liter = 1000 milliliters, we can convert 1.5 liters to milliliters by multiplying it by 1000:
1.5 L * 1000 mL/L = 1500 mL
Step 2: Convert volume from milliliters to grams.
To do this, we need to use the density of body fat. The formula for volume is:
volume = mass/density
Rearranging the formula, we get:
mass = volume * density
Substituting the given values, we have:
mass = 1500 mL * 0.909 g/mL = 1363.5 grams
Step 3: Convert grams to pounds.
To convert grams to pounds, we need to know the conversion factor. 1 pound is approximately equal to 453.592 grams.
Therefore, we divide the mass in grams by the conversion factor:
1363.5 g / 453.592 g/lb = 3.005 lbs
Rounding to two significant figures, the number of pounds of fat removed from the patient is approximately 3.0 pounds.