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A fixed amount of a gas occupies a volume of 1l and exerts a pressure of 400 kpa on the walls of its container. What would be the pressure exerted by the gas if it is completely transferred into a new container having a volume of 3 liters?
Accepted Answer
According to Boyle's law, the pressure of a gas is inversely proportional to its volume, assuming temperature remains constant. Mathematically, P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.
We know that P₁ = 400 kPa, V₁ = 1 L, and V₂ = 3 L. Using Boyle's law, we can calculate P₂:
P₁V₁ = P₂V₂
400 kPa × 1 L = P₂ × 3 L
P₂ = 400 kPa × 1 L / 3 L
P₂ = 133.33 kPa
Therefore, the pressure exerted by the gas in the new container would be 133.33 kPa.
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