Question

Ideal Gas Law: Tutorial. 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? The volume of the canister is ___ liters. Type the correct answer in the box. Express your answer to the correct number of significant figures. Use the gas laws Fact sheet to help you.​

Answer 1

13.0 L

Step-by-step explanation:

To find the volume, you need to use the Ideal Gas Law:

PV = nRT

In this equation,

-----> P = pressure (kPa)

-----> V = volume (L)

-----> n = moles

-----> R = Ideal Gas constant (8.314 kPa*L/mol*K)

-----> T = temperature (K)

After converting the temperature from Celsius to Kelvin, you can plug the given values into the equation and simplify to find "V". The final answer should have 3 sig figs to match the sig figs of the given values.

P = 855 kPa R = 8.314 kPa*L/mol*K

V = ? L T = 26.0 °C + 273.15 = 299.15 K

n = 4.47 moles

PV = nRT

(855 kPa)V = (4.47 moles)(8.314 kPa*L/mol*K)(299.15 K)

(855 kPa)V = 11117.48496

V = 13.0 L