Question

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

Answer 1

Option c)1/60

Explanation:

we know that

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

In this problem

Let

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

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

so

`y/x=k`

For x=420°K, y=7 psi

Find the value of the constant of variation k

`k=7/420`

`k=1/60`