Question

lesson 4 checkpoint
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the volume of a gas at 19 pounds per square inch pressure is 3 liters. if the gas is compressed into a 750 - milliliter container, what will be the pressure of the gas?
0.76 psi
50 psi
76 psi
42.75 psi

Explanation:

Step1: Convert volume units

We know that 1 liter = 1000 milliliters, so 3 liters = 3×1000 = 3000 milliliters.

Step2: Apply Boyle's Law

Boyle's Law states that $P_1V_1 = P_2V_2$, where $P_1$ and $V_1$ are the initial pressure and volume, and $P_2$ and $V_2$ are the final pressure and volume. Here, $P_1 = 19$ psi, $V_1=3000$ mL, $V_2 = 750$ mL. We need to find $P_2$. Rearranging the formula gives $P_2=\frac{P_1V_1}{V_2}$.

Step3: Calculate the final pressure

Substitute the values into the formula: $P_2=\frac{19\times3000}{750}=\frac{57000}{750}=76$ psi.

Answer:

76 psi