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. 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? dp What are its units?

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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.
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?
dP
What are its units?
Transcribed Image Text: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. 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? dP What are its units?
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