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?

Respuesta :

Answer: The number of moles of gas in balloon is 1.69 moles

Explanation:

To calculate the number of moles of gas, we use the equation given by ideal gas which follows:

[tex]PV=nRT[/tex]

where,

P = pressure of the gas = 2.20 atm

V = Volume of the gas = 18.9 L

T = Temperature of the gas = [tex]27.1^oC=[27.1+273]=300.1K[/tex]

R = Gas constant = [tex]0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]

n = number of moles of gas = ?

Putting values in above equation, we get:

[tex]2.20atm\times 18.9L=n\times 0.0821\text{ L. atm }mol^{-1}K^{-1}\times 300.1K\\\\n=\frac{2.20\times 18.9}{0.0821\times 300.1}=1.69mol[/tex]

Hence, the number of moles of gas in balloon is 1.69 moles