Question

A balloon is filled to a volume of 5.10l 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

The number of moles of gas contained in the balloon is 0.121 mol.

Step-by-step explanation:

To calculate the number of moles of gas contained inside the balloon, we can use the ideal gas law equation: PV = nR

1. P: pressure of the gas (in atm) = 2.20 atm
2. V: volume of the gas (in L) = 5.10 L
3. n: number of moles of gas (unknown)
4. R: ideal gas constant = 0.0821 L·atm/mol·K
5. T: temperature of the gas (in K) = 273.15 + 27.1 = 300.25 K

Plugging in the values into the equation, we can solve for n:
(2.20 atm)(5.10 L) = n(0.0821 L·atm/mol·K)(300.25 K)

Simplifying the equation, we find that n = 0.121 mol

Answer 2

we can find the number of moles in the balloon using the ideal gas law equation
PV = nrT
where
P - pressure - 2.20 atm
V - volume - 5.10 L
n - number of moles
r - universal gas constant - 0.08206 LatmK⁻¹mol⁻¹
T - temperature in Kelvin - 27.1 °C + 273 = 300.1 K
substituting the values in the equation
2.20 atm x 5.10 L = n x 0.08206 LatmK⁻¹mol⁻¹ x 300.1 K
n = 0.456 mol
number of moles of gas is 0.456 mol