Chapter 15, Problem 111A

Interpretation Introduction

Interpretation: To determine the final pressure of the steam in the atmosphere.

Concept Introduction: Ideal gas gave the relation between the pressure, temperature, and volume which can be expressed as $\text{PV=nRT}$ .

Answer to Problem 111A

The pressure will be 1.26 atm.

Explanation of Solution

Gay-Lussac’s Law gave the relation between pressure and temperature.

The given data:

  ${\text{P}}_{\text{1}}$ = 1 atm

  ${\text{P}}_{\text{2}}$ = ?

  ${\text{T}}_{\text{1}}$ = ${\text{100}}^{\text{0}}\text{C+273}\text{=}\text{373K}$

  ${\text{T}}_{\text{2}}$ = ${\text{200}}^{\text{0}}\text{C+273=473K}$

The unknown pressure can be determined by

  $\begin{array}{c}\frac{{\text{P}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}}{{\text{T}}_{\text{2}}}\\ {\text{P}}_{\text{2}}\text{=}\frac{{\text{P}}_{\text{1}}{\text{T}}_{\text{2}}}{{\text{T}}_{\text{1}}}\\ \text{=}\frac{\text{1}\text{atm×473K}}{\text{373K}}\\ \text{=1}\text{.26}\text{atm}\end{array}$