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Sagot :
Explanation:
We have a sample of gas that has a volume of 5.1 L at 5.1 atm. We have to find its volume when the pressure changes to 1.0 atm at constant temperature.
To calculate the change of volume or pressure of a gas sample when the temperature remains constant we can apply Boyle's Law. That law says that "the pressure of a given mass of an ideal gas is inversely proportional to the volume it occupies". The formula of Boyle's Law is:
P₁ * V₁ = P₂ * V₂
Where P₁ and V₁ are the initial pressure and volume of the gas sample, and P₂ and V₂ are the final temperature and volume of it. We already know some of these values.
P₁ = 5.1 atm V₁ = 5.1 L V₂ = ? P₂ = 1.0 atm
We can replace these values in the formula and solve it for V₂ to get the answer to our problem
P₁ * V₁ = P₂ * V₂
V₂ = P₁ * V₁/P₂
V₂ = 5.1 atm * 5.1 L/(1.0 atm)
V₂ = 26.01 L = 26 L
Answer: The volume is 26 L.
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