The pressure P of a sample gas is directly proportional to the temperature T and inversely proportional to the volume V. (a) Write an equation that expresses this variation. (Use k for the constant of proportionality.) (b) Find the constant of proportionality if 100 L of gas exerts a pressure of 33.2 kPa at a temperature of 400 K (absolute temperature measured on the Kelvin scale). k = (c) If the temperature is increased to 500 K and the volume is decreased to 60 L, what is the pressure of the gas? (Round your answer to one decimal place.) P = kPa
The pressure P of a sample gas is directly proportional to the temperature T and inversely proportional to the volume V. (a) Write an equation that expresses this variation. (Use k for the constant of proportionality.) (b) Find the constant of proportionality if 100 L of gas exerts a pressure of 33.2 kPa at a temperature of 400 K (absolute temperature measured on the Kelvin scale). k = (c) If the temperature is increased to 500 K and the volume is decreased to 60 L, what is the pressure of the gas? (Round your answer to one decimal place.) P = kPa
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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The pressure P of a sample gas is directly proportional to the temperature T and inversely proportional to the volume V.
(a) Write an equation that expresses this variation. (Use k for the constant of proportionality.)
(b) Find the constant of proportionality if 100 L of gas exerts a pressure of 33.2 kPa at a temperature of 400 K (absolute temperature measured on the Kelvin scale).
k =
(c) If the temperature is increased to 500 K and the volume is decreased to 60 L, what is the pressure of the gas? (Round your answer to one decimal place.)
P = kPa
(b) Find the constant of proportionality if 100 L of gas exerts a pressure of 33.2 kPa at a temperature of 400 K (absolute temperature measured on the Kelvin scale).
k =
(c) If the temperature is increased to 500 K and the volume is decreased to 60 L, what is the pressure of the gas? (Round your answer to one decimal place.)
P = kPa
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