Question 7 of 12 (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature is 108 K and the volume remains fixed at 90 in°. |lb/(in?K) (b) Find the instantaneous rate of change of volume with respect to pressure if the volume is 90 in° and the temperature remains fixed at 108 K. in /lb

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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Answer a and b and can you box the final answer
Question 7 of 12
(a) Find the instantaneous rate of change of pressure with respect to
temperature if the temperature is 108 K and the volume remains
fixed at 90 in³.
lb/(in?K)
(b) Find the instantaneous rate of change of volume with respect to
pressure if the volume is 90 in and the temperature remains
fixed at 108 K.
in /lb
5
Transcribed Image Text:Question 7 of 12 (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature is 108 K and the volume remains fixed at 90 in³. lb/(in?K) (b) Find the instantaneous rate of change of volume with respect to pressure if the volume is 90 in and the temperature remains fixed at 108 K. in /lb 5
According to the ideal gas law, the pressure, temperature, and volume
kT
where k is a constant of
V
of a gas are related by P
proportionality. Suppose that V is measured in cubic inches (in), T
is measured in kelvins (K), and that for a certain gas the constant of
proportionality is k = 10 (in 1lb)/K.
NOTE: Enter the exact answers.
(a) Find the instantaneous rate of change of pressure with respect to
temperature if the temperature is 108 K and the volume remains
fixed at 90 in.
|lb/(in°K)
N
Transcribed Image Text:According to the ideal gas law, the pressure, temperature, and volume kT where k is a constant of V of a gas are related by P proportionality. Suppose that V is measured in cubic inches (in), T is measured in kelvins (K), and that for a certain gas the constant of proportionality is k = 10 (in 1lb)/K. NOTE: Enter the exact answers. (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature is 108 K and the volume remains fixed at 90 in. |lb/(in°K) N
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