A sample of gas has a volume of 16.0 liters at a pressure of 0.5 atmospheres. When the volume decreases to 4.0 liters at a constant temperature, what will be the resulting pressure of the sample?

2 atm

Explanation:

From the question given above, the following data were obtained:

Initial volume (V₁) = 16.0 L

Initial pressure (P₁) = 0.5 atm

Final volume (₂) = 4 L

Final pressure (P₂) =?

The final pressure of the gas can be obtained by using the Boyle's law equation as illustrated below:

P₁V₁ = P₂V₂

0.5 × 16 = P₂ × 4

8 = P₂ × 4

Divide both side by 4

P₂ = 8 / 4

P₂ = 2 atm

Thus, the final pressure of the gas is 2 atm

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