Q.2.121 - An Introduction to General, Organic, and Biological Chemistry

Question

a. An athlete with a body mass of 65kg has 3% body fat. How many pounds of body fat does that person have? (2.6)

b. In liposuction, a doctor removes fat deposits from a person's body. If body fat has a density of 0.909 g/ml and 3.0L of fat is removed, how many pounds of fat were removed from the patient?

Step-by-Step Solution

Answer

a. $4.29lb$

b. $5.99lb$

Step 1: introduction

Liposuction is a surgery that utilizes a pull procedure to eliminate fat from the explicit regions of the body, like the midsection, hips, thighs, bum, arms or neck.

Step 2: explanation part (a)

given,

mass = $65kg$

body fat = $3\%$

body fat of that person with mass$65kg$,

$65\times \frac{3}{100}=1.95kg$

converting into pounds we have,

$1.95\times 2.20=4.29lbs$

Step 3: explanation part (b)

Given,

the density of fat is$=0.909\mathrm{g}/\mathrm{mL}$ and volume = $3L$

calculating the mass of fat,

$\text{ Mass }=\text{ Density }\times \text{ Volume }$

$\begin{array}{r}\text{ Mass }=0.909\times 3000=2.72kg\end{array}$

converting into pounds we have,

$$\begin{gathered} =2.20\times 2.727\mathrm{kg} \\ =5.99\mathrm{lbs} \end{gathered}$$