Answer :
Final answer:
To find the volume of the balloon, we can use the ideal gas law formula PV = nRT. The volume of the balloon is approximately 0.109 L
Explanation:
To find the volume of the balloon, we can use the ideal gas law formula PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the temperature from degrees Celsius to Kelvin by adding 273.15.
So 22.5 degrees Celsius is equal to 295.65 Kelvin.
Next, we need to convert the mass of helium (n) into moles.
The molar mass of helium is approximately 4 g/mol. Therefore, 14.5 grams of helium is equal to 14.5/4 = 3.625 moles.
Now, we can plug the values into the formula:
100.5 kPa * V = 3.625 moles * 8.314 J/(mol·K) * 295.65
Solving for V, the volume of the balloon is approximately 0.109 L.
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