Question

Question
As the pressure of a gas decreases to half its original value, what happens to the volume of the gas if temperature is held constant?(1 point)
Responses

The volume decreases to half of its original value
The volume decreases to half of its original value

The volume decreases to one-fourth of its original value
The volume decreases to one-fourth of its original value

The volume increases to twice its original value
The volume increases to twice its original value

The volume increases to eight times its original value

Answer 1

According to Boyle's Law, when the pressure of a gas decreases (assuming temperature remains constant), the volume of the gas increases. Specifically, Boyle's Law states that the product of pressure and volume is constant for a given amount of gas at a constant temperature.

Mathematically, this can be expressed as:
\[ P_1 \times V_1 = P_2 \times V_2 \]

If the pressure decreases to half its original value (i.e., \( P_2 = \frac{1}{2} P_1 \)), the volume must increase to twice its original value (i.e., \( V_2 = 2 V_1 \)) to maintain the equality.

So, the correct response is:
**The volume increases to twice its original value.**