SOLUTION: An enclosed gas exerts a pressure P on the walls of its container. This pressure is directly proportional to the temperature T of the gas. If the pressure is 2 pounds per square
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Question 41608: An enclosed gas exerts a pressure P on the walls of its container. This pressure is directly proportional to the temperature T of the gas. If the pressure is 2 pounds per square inch when the temperature is 280 K, identify the appropriate direct variation equation. Answer by psbhowmick(878) (Show Source):
You can put this solution on YOUR website! Pressure P is directly proportional to temperature T, so let __________(1)
where c = arbitrary constant of variation/proportionality.
When T = 280 K, P = 2 psi.
Substitute these values P = 2 and T = 280 in eqn. (1)
so
or =
Thus substituting this value in eqn. (1) we have
or T = 140P
This is the appropriate direct variation equation.
