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)
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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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