Question

The pressure of a gas decreases with increasing temperature.
A. True
B. False

Answer 1

Let's start with this equation below:

The ideal gas equation:

\[pV = nRT \]

Now if we want to study say pressure and temperature we know that volume is constant

so let's go back to our equation.

\[p = nRT\]

now we know that n = number of moles and R the ideal gas constant are constants so it becomes this:

\[\frac{ P_{1} }{ T_{1} } = \frac{ P_{2} }{ T_{2} }\]

What does this mean?

this equation means that if we increase pressure temperature goes up and vise versa.

in fact the graph for this looks like a straight line

Answer 2

Think about the way hot air balloons work. What do you think happens when air is heated inside them?