First, we will write the formula we will be using: the Ideal gas law
![PV=nRT](https://img.qammunity.org/2023/formulas/physics/high-school/ns6tfcyfrork1utxo0g9xitf4bxlxstazf.png)
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](https://img.qammunity.org/2023/formulas/chemistry/high-school/wb2oathsm82karzbqh6jme7uw2nmn5v933.png)
So now, we can subsititute in the values we got.
(28)(35) = 5(P2)
P2 = 196 PSI