Chapter 7, Problem 13CT

a.

To determine

To find: The number of red blood cells body produce in one day in scientific notation

Answer to Problem 13CT

Number of red blood cells produce in a day is $1.728\times {10}^{11}$ red blood cells

Explanation of Solution

Given information:

Body normally produces about $2\times {10}^6$ red blood cells per second

Concept Used:

Scientific Notation is used to express the very large numbers and very small number to understandable form

The scientific notation is of form

  $\begin{array}{l}a\times {10}^n\\ \text{where,}\\ 1\le a<10\\ n\to \text{any}\text{interger}\end{array}$

Calculation:

1 day have total 86,400 seconds (24 hours * 60 minutes * 60 seconds)

Now, total number of red blood cells would be the multiplication of 86,400 seconds and $2\times {10}^6$ red blood cells per second

  $\begin{array}{l}\left(86,400\text{seconds}\right)\times \left(2\times {10}^6\frac{redbloodcells}{\text{seconds}}\right)\\ \boxed{1.728\times {10}^{11}redbloodcells}\end{array}$

b.

To determine

To find: The number of days body take to recover red blood cells lost by donating one pint of blood.

Answer to Problem 13CT

Approximately body will take 14 days to recover red blood cells lost by donating one pint of blood

Explanation of Solution

Given:

Body normally produces about $2\times {10}^6$ red blood cells per second

Calculation:

  $\begin{array}{l}2\times {10}^{6}redbloodcells\to 1\text{seconds}\\ 1redbloodcells\to \frac{1}{2\times {10}^6}\text{seconds}\\ 2.4\times {10}^{12}redbloodcells\to \left(\frac{1}{2\times {10}^6}\text{seconds}\right)\left(2.4\times {10}^{12}\right)=\frac{2.4\times {10}^{12}}{2\times {10}^6}=13.8days\end{array}$