Chapter 5, Problem 5.10P

Interpretation Introduction

Interpretation:

If the barometer reads $738.5\text{ torr}$ then the pressure of the gas in the flask is to be calculated.

Concept introduction:

The Pressure of a gas can be measured with the help of a device known as a manometer.

There are basically two types of the manometer. First one is closed-end manometer and the second one is open-end manometer.

In closed-end manometer, the difference in column height $\left(\Delta h\right)$ is equal to the gas pressure.

$P_{\text{gas}}=\Delta h$

In an open-end manometer, the gas pressure is being measured either by adding or subtracting $\Delta h$ from the atmospheric pressure $\left(P_{\text{atm}}\right)$ of the gas.

Case I: When $P_{\text{gas}}$ is less than $P_{\text{atm}}$ then the gas pressure is being calculated as follows:

$P_{\text{gas}}=P_{\text{atm}}-\Delta h$

Case II: When  $P_{\text{gas}}$ is more than $P_{\text{atm}}$ then the gas pressure is being calculated as follows:

$P_{\text{gas}}=P_{\text{atm}}+\Delta h$

The conversion factor to convert centimeters $\left(\text{cm}\right)$ into  meters $\left(\text{m}\right)$ is as follows:

$\text{1}\text{cm}={\text{10}}^{-}{}^{\text{2}}\text{m}$

The conversion factor to convert meters $\left(\text{m}\right)$ to millimeters $\left(\text{mm}\right)$ is as follows:

${\text{10}}^{-3}\text{ m}=1\text{mm}$

The conversion factor to convert millimeters $\left(\text{mm}\right)$ to $\text{torrs}$ is as follows:

$\text{1 mmHg}=1\text{ torr}$

The conversion factor to convert $\text{torrs}$ to atmospheric pressure $\left(\text{atm}\right)$ is as follow:

$\text{760}\text{torr}=\text{1}\text{atm}$