Chapter 13, Problem 13.162P

(a)

Interpretation Introduction

Interpretation:

The molarity of ${\text{N}}_2$ in blood is to be calculated.

Concept introduction:

Henry’s law gives the quantitative relationship between the pressure of the gas and its solubility. It states that the amount of gas dissolved in a liquid is proportional to the partial pressure of the gas. Higher the partial pressure of the gas, more will be its solubility and vice-versa.

The formula to calculate the solubility of gases according to Henry’s law is as follows:

$S_{\text{gas}}=k_{\text{H}}\times P_{\text{gas}}$ (1)

Here, $S_{\text{gas}}$ is the solubility of the gas.

$k_{\text{H}}$ is Henry’s constant.

$P_{\text{gas}}$ is the partial pressure of the gas.

Molarity is defined as the number of moles of solute that are dissolved in one litre of solution. It is represented by $M$ and its unit is $\text{mol/L}$.

(b)

Interpretation Introduction

Interpretation:

The molarity of ${\text{N}}_2$ in blood is to be calculated.

Concept introduction:

The formula to calculate the solubility of gases according to Henry’s law is as follows:

$S_{\text{gas}}=k_{\text{H}}\times P_{\text{gas}}$ (1)

The formula to calculate the pressure at any height is as follows:

$P=h\rho g$ (2)

Here $h$ is the height of the substance.

$\rho$ is the density of the solution.

$g$ is the acceleration due to gravity.

The conversion factor to convert $\text{ft}$ to inches is as follows:

$\text{1ft}=\text{12 inch}$

The conversion factor to convert inches to $\text{cm}$ is as follows:

$\text{1 inch}=\text{2}\text{.54 }\text{}\text{cm}$

The conversion factor to convert $\text{atm}$ to $\text{Pa}$ is as follows:

$1\text{atm}=101325\text{}\text{}\text{Pa}$

(c)

Interpretation Introduction

Interpretation:

The volume of ${\text{N}}_2$ in blood is to be calculated.

Concept introduction:

The formula of an ideal gas equation is as follows:

$PV=nRT$ (4)

Here, $P$ is the pressure of the gas.

$V$ is the volume of gas.

$n$ is the number of moles of gas.

$R$ is the universal gas constant.

$T$ is the absolute temperature of the gas.