SOLUTION: The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give V=410 in^3 when T=530degrees and
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Question 1052485: The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give V=410 in^3 when T=530degrees and P=22 lb/in^2. What is the volume on this device when the temperature is 260 degrees and the pressure is 25 lb/in^2. Answer by ikleyn(52775) (Show Source):
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The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P.
A measuring device is calibrated to give V=410 in^3 when T= 530 degrees and P=22 lb/in^2.
What is the volume on this device when the temperature is 260 degrees and the pressure is 25 lb/in^2.
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The condition states this relationship between V, T and P in the form
V = , (1)
where k is the proportionality coefficient.
You also are given that
410 = . (2)
From (2), find k = and substitute it into the general formula (1) to find V at new conditions:
V = .
Use your calculator.
