Alex S. answered 11/29/20
Stanford Undergrad tutoring Math, Physics, and Languages
Hi Jen!
For this problem, it seems to be testing knowledge of the ideal gas law, PV = nRT. (P is pressure of the gas, V is the volume, n is the number of mols of the gas, R is the universal gas constant, and T is the temperature in Kelvin)
We can solve this equation for P, which gives us that P = (nRT)/V.
From the problem, we know that
n = 1.5
T = 303 K
V = 0.0045 m3
The universal gas constant is 8.3145 J/(mol K), which can be found on the internet or on a formula sheet.
Using this information and plugging it into our equation for the ideal gas law, we get that
P = (1.5 mol * 8.3145 J/(mol K) * 303 K ) / (0.0045 m3) = 8.40 x 105 Pa
Hope this helped!