V varies inversely with T and V = 18 when T = 3. Which equation shows this relationship?

1 Answer
Apr 1, 2016

Answer:

#V=k/T#

Or the other way round is just as true

#T=k/V#

Explanation:

The question is stating that #V# has some relationship to #1/T#

Let #k# be some constant.

Then #V=kxx1/T#...............................(1)

We are told that when #T=3 ; V=18#

Substitute these values into equation (1) giving

#18=kxx1/3#

Multiply both sides by 3 giving

#3xx18 = k xx3/3#

But 3/3 = 1

#54=k#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So the relationship becomes.

#V=k/T#

Or the other way round is just as true

#T=k/V#