According to Boyle's Law, when the temperature of a gas is held constant, the pressure and volume of the gas are inversely related. This means that if the pressure decreases, the volume increases, and vice versa.
Mathematically, Boyle's Law can be expressed as:
\[ P_1 V_1 = P_2 V_2 \]
Here, \( P \) is the pressure and \( V \) is the volume.
If the pressure decreases to half its original value (i.e., \( P_2 = \frac{1}{2} P_1 \)), we can substitute into the equation:
\[ P_1 V_1 = \left(\frac{1}{2} P_1\right) V_2 \]
To find \( V_2 \), we can rearrange the equation:
\[ V_2 = 2 V_1 \]
This means the volume of the gas increases to twice its original value when the pressure is halved and the temperature remains constant.
So the correct answer is: the volume increases to twice its original value.
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