Boyle's law states that if the temperature of an ideal gas is held constant, then the pressure P of the gas and its volume V satisfy the relationship P=, where k is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the ressure and the rate of change, with respect to time t, of the volume? A B C D dP dt - k dV d = dt -k dP dt # = 1/2 (d) V2 (d)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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k
Boyle's law states that if the temperature of an ideal gas is held constant, then the pressure P of the gas and its volume V satisfy the relationship
P = , where k is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the
pressure and the rate of change, with respect to time t, of the volume?
V
(A)
B
D
dP
dt
dP
dt
=
=
k
dV
dt
-k
dV
dt
d² = 2 (d)
dP
k
dt
V2
d² = = (dv)
dP
dt
V²
dt
Transcribed Image Text:k Boyle's law states that if the temperature of an ideal gas is held constant, then the pressure P of the gas and its volume V satisfy the relationship P = , where k is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the pressure and the rate of change, with respect to time t, of the volume? V (A) B D dP dt dP dt = = k dV dt -k dV dt d² = 2 (d) dP k dt V2 d² = = (dv) dP dt V² dt
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