According to the Ideal Gas Law, PV = kT, where P is pressure, V is volume, T is temperature (in kelvins), and k is a constant of proportionality. A tank contains 2600 cubic inches of nitrogen at a pressure of 20 pounds per square inch and a temperature of 300 K.(a) Determine k. k = (b) Write P as a function of V and T and describe the level curves. P =Setting P = c, the level curves are of the formV =

The value of k = 173.34

Step-by-step explanation:

(a). Pressure ( P )= 20

Volume ( V ) = 2600

Temperature ( T ) = 300 K

From the Ideal Gas Law, P V = k T -------------(1)

⇒ k =

Put all the values in the above formula we get

⇒ k = × 2600

⇒ k = 173.34

This is the value of k.

(b). From the Ideal Gas Law, P V = k T

⇒ P = k ×

⇒ P = function of -------------- (2)

⇒ P is directly proportional to

The curve between  P & is as follows.