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If 2 l of a gas at 200c and 1.5 atm is compressed at a pressure of 60 atm and 25oc, calculate the new volume of the gas.
Accepted Answer
This problem can be solved using the combined gas law: (P₁V₁)/T₁ = (P₂V₂)/T₂.
Here's how to break it down:
P₁: Initial pressure = 1.5 atm
V₁: Initial volume = 2 L
T₁: Initial temperature = 20 °C + 273.15 = 293.15 K (convert to Kelvin)
P₂: Final pressure = 60 atm
V₂: Final volume (what we need to find)
T₂: Final temperature = 25 °C + 273.15 = 298.15 K (convert to Kelvin)
Now, plug the values into the combined gas law and solve for V₂:
(1.5 atm
2 L) / 293.15 K = (60 atm
V₂) / 298.15 K
V₂ ≈ 0.25 L
Therefore, the new volume of the gas is approximately 0.25 L.
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