Question

Paintball is a popular recreational activity that uses a metal tank of compressed carbon dioxide or nitrogen to launch small capsules of paint. A typical tank has a volume of 508 cubic centimeters. A 340. gram sample of carbon dioxide is added to the tank before it is used for paintball. At 20.oC, this tank contains both CO2(g) and CO2(l). After a paintball game, the tank contains only CO2(g).
Determine the total number of moles of CO2 added to the tank before it is used for paintball.

Answer 1

We know,
1000 cm³ = 1 L
1 cm³ = 1 / 1000 L
508 cm³ = (1 / 1000) * 508 L = 0.5080 L

So, 508 cm³ = 0.5080 L

Now,
We know,
22.4 L = 1 mole
1 L = 1 / 22.4 mole
0.5080 L = (1 / 22.4) * 0.5080L = 0.0227 moles

So, 0.0277 moles  moles of $CO_2$ are added to the tank before it is used for paintball.

Answer 2

The total number of moles of CO₂ added to the tank before it is used for paintball is 7.73 moles.

What is a mole ?

A mole of a substance is that containing 6.022 * 10^23 molecules of that substance

A 340 gm sample of carbon dioxide

Molecular weight = 44

Moles added to the tank = mass/ molecular meight

Moles added to the tank = 340 /44

= 7.73 moles

The total number of moles of CO₂ added to the tank before it is used for paintball is 7.73 moles.

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