Chapter 13.2, Problem 35SSC

Interpretation Introduction

Interpretation:

The units of variables in ideal gas law are to be listed.

Concept introduction:

Ideal gas law is given by:

$\mathrm{PV}=nRT$

Where

$\mathrm{P}$ is pressure of the gas

$\mathrm{V}$ is volume of the gas

$\mathrm{n}$ is the number of moles of the gas

$\mathrm{R}$ is the ideal gas constant

$\mathrm{T}$ is the temperature of the gas

Answer to Problem 35SSC

Pressure is measured in $bar,torr,atm,mmHg$

Volume is measured in $d{m}^3,L,mL,c{m}^3$

Temperature is measured in $K$

Gas constant is measured in $Latm{K}^{-1}mo{l}^{-1},bard{m}^3{K}^{-1}mo{l}^{-1},LKPa{K}^{-1}mo{l}^{-1}$

Number of moles are measured in $moles$

Explanation of Solution

Units of pressure:

$\begin{array}{l}Bar\hfill \\ torr\hfill \\ atm\hfill \\ mmHg\hfill \end{array}$

Units of volume:

$\begin{array}{l}L\hfill \\ d{m}^3\hfill \\ c{m}^3\hfill \\ mL\hfill \end{array}$

Units of temperature:

$K$

Units of number of moles:

$mol$

Units of gas constant:

$Latm{K}^{-1}mo{l}^{-1}$

$LKPa{K}^{-1}mo{l}^{-1}$

$bard{m}^3{K}^{-1}mo{l}^{-1}$

Conclusion

The variables involved in ideal gas law has many units.