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

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:

$PV=nRT$

where,

P = pressure of the gas = 2.20 atm

V = Volume of the gas = 18.9 L

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

R = Gas constant = $0.0821\text{ L. atm }mol^{-1}K^{-1}$

n = number of moles of gas = ?

Putting values in above equation, we get:

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

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