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.°C, this tank contains both CO2(g) and CO2(ℓ). After a paintball
game, the tank contains only CO2(g).
70 Determine the total number of moles of CO2 added to the tank before it is used for
paintball. [1]

71.

71 In the box in your answer booklet, use the key to draw a particle diagram to represent
the two phases of CO2 in a newly filled tank. Your response must include at least six
molecules of CO2 in each phase. [1]

72.

72 After the paintball game, the tank has a gas pressure of 6.1 atmospheres and is at
293 K. If the tank is heated to 313 K, the pressure in the tank will change. Show a
numerical setup for calculating the pressure of the gas in the tank at 313 K. [1]

Answer 1

Step-by-step explanation:

Here we have the mass of CO₂ added = 340 g

From

`Number \, of \, moles = (Mass)/(Molar \, mass)`

We have, where the molar mass of CO₂ is 44.01 g/mol

Therefore,

`Number \, of \, moles = (340)/(44.01) = 7.73 \, \, \, moles`

71. Included drawing attached

72. Here we have the pressure of the gas given by Charles law which can be resented as follows;

`(P_1)/(P_2) =(T_1)/(T_2)`

Where:

P₁ = Initial pressure = 6.1 atmospheres

P₂ = Final pressure

T₁ = Initial Temperature = 293 K

T₂ = Initial Temperature = 313 K

Therefore,

`P_2= T_2 * (P_1)/(T_1) = 313 * (6.1)/(293) = 3.312 \, \, \, atmospheres`