If gas in a cylinder is maintained at a constant temperature T, the pressure P is related to the volume by a formula of the form
\(P=\frac{nRT}{V-nb}-\frac{an^2}{V^ 2}\)
(a) in which a, b, n, and R are constants. Find dP/dV.
(b) Now suppose temperature is not constant and that T, P, and V are functions of time t. Find dP/dt.
(c) Describe in words the meanings of dP/dV and dP/dt.

(a)  

(b)

(c) is the rate change of pressure of the gas per unit volume.

is the rate change of pressure of the gas per unit time.

Step-by-step explanation:

Formula:

Given that,

(a)

Differentiating with respect to V

(b)

Differentiating with respect to t

(c)

is the rate change of pressure of the gas per unit volume.

is the rate change of pressure of the gas per unit time.

step-by-step explanation:

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70.30

step-by-step explanation: