Using an ideal gas equation to solve the problem. Then the original volume is 17.67 liters.
An ideal gas is a theoretical composed of a set of randomly moving gas particles that interact only through elastic collision.
Given
A balloon containing 0.500 mol at 0. 00°C and 65.0 kPa pressure are expanded by adding more argon.
Pressure (P) = 65 kPa
Mole (n) = 0.5 mol
Temperature (T) = 0 °C = 273.15 K
Universal gas constant (R) = 8.317 L.kPa/mol.K
We know the ideal gas equation
[tex]\rm PV =nRT\\\\V \ \ = \dfrac{nRT}{P}[/tex]
Put the values, we have
[tex]\rm V = \dfrac{0.5*8.317*273.15}{65}\\\\V = 17.67[/tex]
Thus, the original volume is 17.67 liters.
More about the ideal gas equation link is given below.
https://brainly.com/question/4147359
