Chapter 10.5, Problem 1PPB

Interpretation Introduction

Interpretation:

The depth of the water present in the lake is to be calculated.

Concept Introduction:

The combination of gas lawsgives the relationship between pressure, volume, temperature, and the number of moles. The expression is given as:

$\frac{P_1{V}_1}{T_1{n}_1}=\frac{P_2{V}_2}{T_2{n}_2}$.

The conversion of temperature from degree Celsius to kelvin can be done by using the formula given below:

$T\left(\text{in K}\right)=T\left(\text{in }°\text{C}\right)+273.15$.

The pressure applied by a fluid in the column is calculated by the expression, which isas:

$P=hdg$.

Here, P represents pressure that is in Pa, h denotes height of the column that is in meters, d represents density of the liquid that is in the $\text{kg}/{\text{m}}^{\text{3}}$, and g shows the gravitational constant.

The relationship between $\text{atm}$ and Pascal can be expressed as $1\text{ atm}=101,325\text{ Pa}\text{.}$

To convert $\text{atm}$ to Pascal, conversion factor is $\frac{101,325\text{Pa}}{1\text{atm}}.$

To convert $\text{g}/{\text{cm}}^3$ to $\text{kg}/{\text{m}}^3$, conversion factor is $\frac{1\times {10}^{-3}}{{10}^{-6}}.$