Answer: 24.72 liters
Explanation:
Given that:
Volume of canister (V) = ?
Room temperature (T) = 26.0°C
Convert temperature in celsius to kelvin by adding 273
i.e 26.0°C + 273 = 299.0K
Number of moles of air (n) = 4.47
Molar gas constant (R) is a constant with a value of 0.0821 atm L K-1 mol-1
Gas pressure (P) = 855 kilopascal
(Pressure is required in atmosphere, so convert 855 kPa to atmosphere)
If 101.325 kPa = 1 atm
855 kPa = Z
To get the value of Z, cross multiply
Z x 101.325 kPa = 1 atm x 855 kPa
101.325 kPa•Z = 855 kPa•atm
Z = 855 kPa / 101.325 kPa•atm
Z = 8.438 atm (the gas pressure is 8.438 atmosphere)
Then, apply formula for ideal gas equation to find volume of canister
pV = nRT
8.438 atm x V = 4.47 moles x (0.0821 atm L K-1 mol-1 x 299.0K)
8.438 atm•V = 109.729 atm L
Divide both sides by 8.438 atm
8.438 atm•V/8.438 atm = 109.729 atm L/8.438 atm
V = 24.72L
Thus, the volume of the canister is 24.72 liters.