Answer:
The volume of a gas is inversely proportional to the pressure at constant temperature, according to Boyle's law. Mathematically, it can be expressed as PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
As the temperature is constant, we can use the following formula to calculate the new volume of the balloon:
V1 / P1 = V2 / P2
where V1 = 2.00 L, P1 = 101 kPa, P2 = 97.0 kPa.
V2 = (V1 * P2) / P1
V2 = (2.00 L * 97.0 kPa) / 101 kPa = 1.9608 L
So, the new volume of the helium balloon is 1.9608 L.