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Gas law calculations Consider the Ideal Gas Law PV = kT,
Chapter 12, Problem 41E(choose chapter or problem)
Gas law calculations Consider the Ideal Gas Law PV=kT, where k>0 is a constant. Solve this equation for V in terms of P and T.
(a) Determine the rate of change of the volume with respect to the pressure at constant temperature. Interpret the result.
(b) Determine the rate of change of the volume with respect to the temperature at constant pressure. Interpret the result.
(c) Assuming k=1, draw several level curves of the volume function and interpret the results as in Example 5.
Questions & Answers
QUESTION:
Gas law calculations Consider the Ideal Gas Law PV=kT, where k>0 is a constant. Solve this equation for V in terms of P and T.
(a) Determine the rate of change of the volume with respect to the pressure at constant temperature. Interpret the result.
(b) Determine the rate of change of the volume with respect to the temperature at constant pressure. Interpret the result.
(c) Assuming k=1, draw several level curves of the volume function and interpret the results as in Example 5.
ANSWER:Solution 41E
Given
Consider the Ideal Gas Law PV = kT, where k > 0 is a constant. Solve this equation for V in terms of P and T.
a. Determine the rate of change of the volume with respect to the pressure at constant temperature. Interpret the result.
Step 1:
Relationship between volume and pressure
Ideal Gas Law PV = kT,