Chapter 8, Problem 142AE

Interpretation Introduction

Interpretation: From the given data, volume of methane at 1.00 atm and $\text{0°C}$ should be determined.

Concept introduction:

• By combining the three gaseous laws namely Boyle’s law, Charles’s law and Avogadro’s law a combined gaseous equation is obtained. This combined gaseous equation is called Ideal gas law.

According to ideal gas law,

$\text{PV=nRT}$

Where,

P = pressure in atmospheres

V= volumes in liters

n = number of moles

R =universal gas constant ( $0.08206L\cdot atm/K\cdot mol$)

T = temperature in kelvins

By knowing any three of these properties, the state of a gas can be simply identified,

Unknown volume of the gas can be determined by,

$\text{V=}\frac{\text{nRT}}{\text{P}}$

• The amount of heat energy released by the combustion of ‘n’ moles of fuel is equal to the value of the molar heat of combustion of the fuel multiplied by the moles of fuel combusted.

  $\begin{array}{l}Heatreleased\left(kJ\right)=Numberofmole\left(n\right)\times molarenthalpyofcombustion\left(kJ/mol\right)\\ Numberofmole\left(n\right)=\frac{Heatreleased\left(kJ\right)}{molarenthalpyofcombustion\left(kJ/mol\right)}\end{array}$