At a party, you use a gas canister to fill balloons. The canister holds 4.47 moles of air. If the room is at 26.0°C and the gas
pressure is 855 kilopascals, what is the volume of the canister?
Type the correct answer in the box. Express your answer to the correct number of significant figures C. Use the gas laws
fact sheet to help you.
The volume of the canister is
liters.

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.

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