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 (in³), T is measured in kelvins (K), and that for a certain gas the constant of proportionality is k = 5 (in · lb)/K. NOTE: Enter the exact answers. (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature is 44 K and the volume remains fixed at 20 in³. Ib/(in°K)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question
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 (in³), T
is measured in kelvins (K), and that for a certain gas the constant of
proportionality is k = 5 (in · lb)/K.
NOTE: Enter the exact answers.
(a) Find the instantaneous rate of change of pressure with respect to
temperature if the temperature is 44 K and the volume remains
fixed at 20 in³.
|lb/(in²K)
(b) Find the instantaneous rate of change of volume with respect to
pressure if the volume is 20 in and the temperature remains
fixed at 44 K.
in /lb
Hint
Assistance Used
kT
To find the rate of change for volume we must rewrite the equation as V =
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 (in³), T is measured in kelvins (K), and that for a certain gas the constant of proportionality is k = 5 (in · lb)/K. NOTE: Enter the exact answers. (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature is 44 K and the volume remains fixed at 20 in³. |lb/(in²K) (b) Find the instantaneous rate of change of volume with respect to pressure if the volume is 20 in and the temperature remains fixed at 44 K. in /lb Hint Assistance Used kT To find the rate of change for volume we must rewrite the equation as V =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning