Question

10 The internal energy of a hypothetical substance is given by u(T,v)=42vT+ 4/v where the units of u in J/mole, T in K and v in m³/mole, Also for this substance you have T(dP/dT), =5P, the units of P in Pa. Find the equation of state and from the equation of state calculate the pressure P in Pa at T=315K and v=9.9 m³/mole. a. 2745 b. 2084 c. 3307 d. 1422 e. 4068

          10
The internal energy of a hypothetical substance is given by u(T,v)=42vT+ 4/v where the units of u in J/mole, T in K and v in m³/mole, Also for
this substance you have T(dP/dT), =5P, the units of P in Pa. Find the equation of state and from the equation of state calculate the pressure
P in Pa at T=315K and v=9.9 m³/mole.
a. 2745
b. 2084
c. 3307
d. 1422
e. 4068

10
The internal energy of a hypothetical substance is given by u(T,v)=42vT+ 4/v where the units of u in J/mole, T in K and v in m³/mole, Also for
this substance you have T(dP/dT), =5P, the units of P in Pa. Find the equation of state and from the equation of state calculate the pressure
P in Pa at T=315K and v=9.9 m³/mole.
a. 2745
b. 2084
c. 3307
d. 1422
e. 4068

Added by Bailey B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Rajesh Kumar

Step 1

To find the equation of state, we need to express the pressure P in terms of temperature T and volume v. We can do this by using the given relationship T(dP/dT)y = 5P. First, let's differentiate the internal energy u(T,v) with respect to temperature T while Show more…

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The internal energy of a hypothetical substance is given by u(T,v) = 42vT + 4/v, where the units of u are in J/mole, T is in K, and v is in m/mole. Also, for this substance, you have T(dP/dT)y = 5P, where the units of P are in Pa. Find the equation of state and from the equation of state, calculate the pressure P in Pa at T = 315K and v = 9.9m^3/mole.