Question

quiz - gas laws
name: ebtesam
questions

1. at a constant temperature, if you double the pressure of an unknown ideal gas, you would expect the volume to:

□ double
□ increase by half
□ remain unchanged
□ decrease by half

Explanation:

Step1: Recall Boyle's law

Boyle's law states that for a given mass of an ideal gas at constant temperature, $P_1V_1 = P_2V_2$.

Step2: Set up the pressure - volume relationship

Let the initial pressure be $P_1$ and volume be $V_1$, and the final pressure $P_2 = 2P_1$. Then $P_1V_1=(2P_1)V_2$.

Step3: Solve for $V_2$

Dividing both sides of the equation $P_1V_1=(2P_1)V_2$ by $2P_1$, we get $V_2=\frac{V_1}{2}$.

Answer:

decrease by half