Question

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?

Answer 1

We have 1.69 moles of gas inside the balloon

Step-by-step 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