An enclosed gas exerts a pressure P on the walls of a container. This pressure is directly proportional to the temperature T of the gas, measured in Kelvin. If the pressure is 7 lb per square inch when the temperature is 420ºK, find the constant of variation.

a)60

b)49

c)1/60

d)1/49

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem

Let

x ------> the temperature T of the gas measured in Kelvin

y -----> the pressure measured in psi

so

[tex]y/x=k[/tex]

For x=420°K, y=7 psi

Find the value of the constant of variation k

[tex]k=7/420[/tex]

[tex]k=1/60[/tex]

An enclosed gas exerts a pressure P on the walls of a container. This pressure is directly proportional to the temperature T of the gas, measured in Kelvin. If the pressure is 7 lb per square inch when the temperature is 420ºK, find the constant of variation. a)60 b)49 c)1/60 d)1/49

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An enclosed gas exerts a pressure P on the walls of a container. This pressure is directly proportional to the temperature T of the gas, measured in Kelvin. If the pressure is 7 lb per square inch when the temperature is 420ºK, find the constant of variation.

a)60

b)49

c)1/60

d)1/49