Write dt/ds with constant H in terms of T,P,V.

Expert Solution

Amanda K answered 2 years ago

For each problem, sketch the appropriate process diagram on a T-v, P-v or P-h diagram 1)...

For each problem, sketch the appropriate process diagram on a T-v, P-v or P-h diagram 1) Oil enters the outer tube of an insulated concentric tube heat exchanger at a temperature of 500k, and exits at a temperature of 400k. The mass flow rate of the oil is 5 kg/s, and the oil has a specific heat of Cp=1.91 kJ/kg*K. Saturated liquid water at 100 degrees celsius enters the inner tube, and exits at 100 degrees celsius with a quality...

For each problem, sketch the appropriate process diagram on a T-v, P-v, or P-h diagram 4.60...

For each problem, sketch the appropriate process diagram on a T-v, P-v, or P-h diagram 4.60 : Steam exiting the turbine of a power plant passes through the insulated shell-and-tube heat exchanger condenser. The mass flow rate of the steam is 145 kg/s, and the steam enters the heat exchanger as a saturated mixture with a quality of 0.95 at 20 kPa. The steam exits the condenser as a saturated liquid at 20 kPa. Liquid cooling water is used to...

Calculus dictates that (∂U/∂V) T,Ni = T(∂S/∂V)T,Ni – p = T(∂p/∂T)V,Ni – p (a) Calculate (∂U/∂V)...

Calculus dictates that (∂U/∂V) T,Ni = T(∂S/∂V)T,Ni – p = T(∂p/∂T)V,Ni – p (a) Calculate (∂U/∂V) T,N for an ideal gas [ for which p = nRT/V ] (b) Calculate (∂U/∂V) T,N for a van der Waals gas [ for which p = nRT/(V–nb) – a (n/V)2 ] (c) Give a physical explanation for the difference between the two. (Note: Since the mole number n is just the particle number N divided by Avogadro’s number, holding one constant is equivalent...

Write the total differential for H as a function of T & P and derive the...

Write the total differential for H as a function of T & P and derive the appropriate working equation.

The differential for the Internal energy, U, at constant composition is ?U = −P?V + T?S...

The differential for the Internal energy, U, at constant composition is ?U = −P?V + T?S (a) What are the natural independent variables of U? [2] (b) Derive an expression for the change in internal energy at constant Volume starting with the above differential for the internal function, U, at constant composition. [3] (c) Using the criterion for exact differentials, write the Maxwell relation that is derived from this equation. [2] (d) Based on your answer in part (a), write...

what does this mean: V/T = constant

(a) Find P(T<1.321) when v=22. (b) Find P(T>2.069) when v=23. (c) Find P(−2.145<T<2.997) when v=14. (d)...

(a) Find P(T<1.321) when v=22. (b) Find P(T>2.069) when v=23. (c) Find P(−2.145<T<2.997) when v=14. (d) Find P(T>−2.998) when v=7.

Using the relationship for internal pressure πT = T (∂P/∂T)V – P, show that for a...

Using the relationship for internal pressure πT = T (∂P/∂T)V – P, show that for a gas that obeys a truncated virial equation of state: Z = PVm/RT = 1 + B(T)/Vm, the internal pressure may be approximated as πT ≈ RT2(Vm)-2∙(ΔB/ΔT). Estimate the internal pressure at 1.0 bar and also at 10.0 bar for a hypothetical real gas at 275K given that B(T) = -28.0 cm3⋅mol-1 at 250K and -15.6 cm3⋅mol-1 at 300K for this gas.

Show that Cp = T(∂S/∂T)p and Cv = T(∂S/∂T)V

Use the maxwell relations and the euler chain rule to express the derivative (ds/dv)T in terms...

Use the maxwell relations and the euler chain rule to express the derivative (ds/dv)T in terms of the expresion coefficient alpha, and the isothermal compressibility Kt.

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