Question

28 cubic inches of a gas with an absolute pressure of 35 psi is compressed to a volume of 5 cu.in, what is the new pressure of the gas. (Assume that there's no change in temperature.

Answer 1

First, we will write the formula we will be using: the Ideal gas law

$PV=nRT$

Now, let's see what is given to us

Volume: 28 Cubic Inches

Pressure: 35 PSI

New Volume: 5 cubic inches

New Pressure?

No change in temperature

Since we know that only the volume is changing, we can simplify the ideal gas law into Boyle's law

$P_1V_1=P_2V_2$

So now, we can subsititute in the values we got.

(28)(35) = 5(P2)

P2 = 196 PSI