Answer: 26.7 litres
Step-by-step explanation:
Given that,
Original pressure of balloon (P1) = 100.0 kPa
Original volume of balloon (V1) = 22.3 liters
New pressure of balloon (P2) = 83.5 kPa
New volume of balloon (V2) = ?
Since pressure and volume are given while temperature is held constant, apply the formula for Boyle's law
P1V1 = P2V2
100 kPa x 22.3L = 83.5 kPa x V2
2230 kPa•L = 83.5 kPa•V2
Divide both sides by 83.5 kPa
2230 kPa•L/83.5 kPa = 83.5 kPa•V2/ 83.5 kPa
26.7 L = V2
Thus, the new volume of the balloon is 26.7 litres