Chapter 11, Problem 11.104CP

Interpretation Introduction

Interpretation:

The heat of vaporization of nitrous oxide in $\text{kJ}/\text{mol}$ should be determined.

Concept introduction:

Nitrous oxide is a secure and efficient narcotic agent which is mixed with oxygen and breathed in via a tiny mask which fits over your nose to assist you relax.

Nitrous oxide, in some cases called “laughing gas,” is single alternative your dental specialist might suggest to assist and make you extra comfortable through certain procedures. It is not aiming to put you to doze.

The vaporization curves of major liquids have same shapes. The vapor pressure consistently increments as the temperature increments. A better method is to discover the mathematical approach for the increment in pressure as a function of temperature. experiments appeared that the temperature T and vapor pressure P are connected,

  ${\text{P α e}}^{{\text{-ΔH}}_{\text{vap}}\text{/RT}}$

Here,

  $\Delta {\text{H}}_{\text{vap}}$ = Enthalpy
   R = constant

So, if we assume that, P₁ as well as P₂are the vapor pressures at two temperatures T₁ and T₂, then we can find a below simple connection

  $\text{ln}\left(\frac{{\text{P}}_1}{{\text{P}}_2}\right)\text{ = }\frac{\Delta {\text{H}}_{\text{vap}}}{\text{R}}\left(\frac{1}{{\text{T}}_2}\text{ -}\frac{1}{{\text{T}}_1}\right)$

This is recognized as the Clausius-Clapeyron Equation and permits us to assess the vapor pressure at a different temperature, if the vapor pressure is identified at certain temperature, and if an enthalpy of vaporization is identified.