Questions: Volume-Pressure. How would you expect the pressure to change if you changed the size of the balloon (while keeping the same number of gas molecules)? A Inversely proportional (B) Directly proportional (C) They are not related.

Solution Steps

According to Boyle's Law, for a given amount of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. This means that if the volume of the gas increases, the pressure decreases, and if the volume decreases, the pressure increases.

Boyle's Law can be mathematically expressed as: \[ P \propto \frac{1}{V} \] or \[ P \cdot V = \text{constant} \] where \( P \) is the pressure and \( V \) is the volume.

Given that the number of gas molecules and the temperature remain constant, changing the size of the balloon (which changes the volume) will inversely affect the pressure.

Final Answer