The Boyle's Law states that 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 relationship.
P=kTV
b.) Find the constant of proportionality if 100L of gas exerts a pressure of 332kPa at a temperature of 400K.
33.2kPa=k(400K)100LSolve for kk=8.3kPa×LK
c.) If the temperature is increased to 500K and the volume is decreased to 80L. What is the pressure of the gas?
P=kTVModelP=(8.3kPa×LK)(500K)(80L)Cancel out like terms, solve for PP=51.875kPa
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