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

Step-by-step 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* 18.9L=n* 0.0821\text{ L. atm }mol^(-1)K^(-1)* 300.1K\\\\n=(2.20* 18.9)/(0.0821* 300.1)=1.69mol`

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