2. Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P of the 1 gas is inversely proportional to the volume V of the gas. (That is: at a constant temperature, the equation P = c. holds, for some constant c.) (Note: The standard units of volume are cubic meters, m³, and the standard units of pressure are Pascals, Pa, or kiloPascals, kPa.) (a) Suppose that the pressure of a sample of air that occupies 0.106 m³ at 25°C is 50 kPa. Write V as a function of P. dV (b) Calculate when P = 50 kPa. What is the meaning of the derivative? What are its units? dP

2. Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P of the 1 gas is inversely proportional to the volume V of the gas. (That is: at a constant temperature, the equation P = c. holds, for some constant c.) (Note: The standard units of volume are cubic meters, m³, and the standard units of pressure are Pascals, Pa, or kiloPascals, kPa.) (a) Suppose that the pressure of a sample of air that occupies 0.106 m³ at 25°C is 50 kPa. Write V as a function of P. dV (b) Calculate when P = 50 kPa. What is the meaning of the derivative? What are its units? dP

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter4: Physics Of Matter

Section: Chapter Questions

Problem 2C

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Question

2. Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P of the
gas is inversely proportional to the volume V of the gas. (That is: at a constant temperature, the equation P = c.
1
holds, for some constant c.)
V
(Note: The standard units of volume are cubic meters, m³, and the standard units of pressure are Pascals, Pa, or
kiloPascals, kPa.)
3
(a) Suppose that the pressure of a sample of air that occupies 0.106 m³ at 25°C is 50 kPa. Write V as a
function of P.
(b) Calculate
dV
dP
when P = 50 kPa. What is the meaning of the derivative? What are its units?

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