According to the Ideal Gas Law, where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function of V and T after evaluating k.

Question

According to the Ideal Gas Law,  where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function of V and T after evaluating k.

Quizplus · Accepted Answer

Using the Ideal Gas Law, we can write:

PV = kT

We can solve for k by plugging in the given values:

k = PV/T = (34 lb/in^2)(3500 in^3)/(300 K) = 3966.67 lb in^5 / (in^3 K)

Now we can rearrange the equation to solve for P:

P = kT/V = (3966.67 lb in^5 / (in^3 K))(T / V)

Substituting in the given values for V and T, we get:

P = (3966.67 lb in^5 / (in^3 K))((300 K) / (3500 in^3)) = 34.08 lb/in^2

Therefore, the answer is choice A.

According to the Ideal Gas Law, Where P Is