Question

The ideal gas equation is:

• A. $\text{PV}\mu ={\text{N}}_{\text{A}}{\text{k}}_{\text{B}}\text{T}$
• B. $\frac{\text{V}}{{\text{N}}_{\text{A}}\text{T}}=\mu \text{PR}$
• C. $\frac{\text{PV}}{\mu {\text{TN}}_{\text{A}}}={\text{k}}_{\text{B}}$
• D. $\text{PV}=\text{RT}$

Answer 1

Answer: (C), (D)

The correct options are
C $\frac{\text{PV}}{\mu {\text{TN}}_{\text{A}}}={\text{k}}_{\text{B}}$
D $\text{PV}=\text{RT}$

The ideal gas law is $\text{PV}=\text{RT}$, where

• $\text{P}$ is the pressure of the gas
• $\text{V}$ is the volume of the gas
• $\text{R}$ is the ideal, or universal gas constant, equal to the product of the amount of substance in moles $\mu$, the Boltzmann constant (${\text{k}}_{\text{B}}$) and the Avogadro's number (${\text{N}}_{\text{A}}$)
• $\text{T}$ is the absolute temperature of the gas in kelvin

$⟹\text{PV}=\mu {\text{k}}_{\text{B}}{\text{N}}_{\text{A}}\text{T}$

$⟹\frac{\text{PV}}{\mu {\text{TN}}_{\text{A}}}={\text{k}}_{\text{B}}$