According to Boyle's Law, which states that for a given mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. This can be expressed as \( P_1 V_1 = P_2 V_2 \).
If the pressure decreases to half of its original value (i.e., \( P_2 = \frac{1}{2} P_1 \)), we can set up the equation:
\[ P_1 V_1 = \left(\frac{1}{2} P_1\right) V_2 \]
By simplifying this equation, we find:
\[ V_2 = 2V_1 \]
This means that if the pressure of a gas decreases to half its original value while keeping the temperature constant, the volume of the gas will increase to twice its original value.
Therefore, the correct response is:
The volume increases to twice its original value.
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