Physics
Physics
1st Edition
Walker
ISBN: 9780133256925
Textbook solutions

All Solutions

Page 419: Practice Problems

Exercise 4
Step 1
1 of 3
### Knowns

– The total number of particles of gas in the lungs $N = 1.5 cdot 10^{23}$

– The atmospheric pressure $P = 101text{ kPa}$

– The temperature of the body $T = 310text{ K}$

Step 2
2 of 3
### Calculation

To calculated the volume of the lungs we use the Ideal Gas Equation:

$$
begin{equation*}
PV = N , k , T
end{equation*}
$$

rearranging for volume

$$
begin{equation*}
V = frac{N , k , T}{P}
end{equation*}
$$

Plugging in the values we get:

$$
begin{align*}
V = frac{1.5 cdot 10^{23} cdot 1.38 cdot 10^{-23} , frac{text{J}}{text{K}} cdot 310text{ K} }{101 cdot 10^{3}text{ Pa}} = 0.00635text{ m}^3
end{align*}
$$

Result
3 of 3
The total volume of the lungs is $V = 6.35text{ L}$
Exercise 5
Step 1
1 of 2
We know that,

$$
PV=NkT
$$

So we can see that if other factor remains constant then the number of molecule $N$ is proportional to the pressure $P$. So if pressure decreases, the number of gas molecule will also decrease.

Result
2 of 2
Decrease.
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