Question

Propane (C3H3) is used in domestic cooking and heating. A typical home in Pennsylvania burns 750 gal of propane for heating over the course of a year. How many moles of propane are burned? (the density of propane is approximately 4.2lb/gal)

Answer 1

Answer: There are 32400 moles of propane burned.

Step-by-step explanation:

To calculate the mass of propane, we use the equation:

`\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}`

Density of propane =
`4.2lb/gal`

Volume of propane = 750 gal

Putting values in above equation, we get:

`4.2lb/gal=\frac{\text{Mass of propane}}{750gal}\\\\\text{Mass of propane}=(4.2lb/gal* 750gal)=3150lb=1428840g` (1 lb=453.6 g[/tex]

According to avogadro's law, 1 mole of every substance weighs equal to molecular mass and contains avogadro's number
`6.023* 10^(23)` of particles.

To calculate the moles, we use the equation:

`\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}=(1428840g)/(44.1g/mol)=32400moles`

Thus there are 32400 moles of propane burned.