A balloon is filled to a volume of 18.9L at a temperature of 27.1ºC. If the pressure in the balloon is measured to be 2.20 atm, how many moles of gas are contained inside the balloon?

We have 1.69 moles of gas inside the balloon

Explanation:

Step 1: Data given

Volume of the balloon = 18.9 L

Temperature = 27.1 °C = 300.25 K

Pressure in the balloon = 2.20 atm

Step 2: Calculate the number of moles

p*V = n*R*T

n = (p*V) / (R*T)

⇒with n = the number of moles of gas

⇒with p = the pressure of gas = 2.20 atm

⇒with V = the volume of the gas = 18.9 L

⇒with R = the gas constant = 0.08206 L*atm/mol*K

⇒with T = the temperature = 27.1 °C = 300.25 K

n = (2.20 * 18.9) / (0.08206*300.25)

n = 1.69moles

We have 1.69 moles of gas inside the balloon