Answer:
a)W=12.62 kJ/mol
b)W=12.59 kJ/mol
Explanation:
At T = 100 °C the second and third virial coefficients are 
B = -242.5 cm^3 mol^-1 
C = 25200 cm^6  mo1^-2 
Now according isothermal work of one mole methyl gas is 
W=-
a=
b=
from virial equation  

And  

a=
b=
Now calculate V1 and V2 at given condition

Substitute given values  = 1 x 10^5 , T = 373.15 and given values of coefficients we get
 = 1 x 10^5 , T = 373.15 and given values of coefficients we get  

Solve for V1 by iterative or alternative cubic equation solver we get 

Similarly solve for state 2 at P2 = 50 bar we get  

Now  

a=241.33
b=30780
After performing integration we get work done on the system is  
W=12.62 kJ/mol
(b) for Z = 1 + B' P +C' P^2 = PV/RT by performing differential we get  
          dV=RT(-1/p^2+0+C')dP
Hence work done on the system is  

a=
b=
by substituting given limit and P = 1 bar , P2 = 50 bar and T = 373 K we get work  
W=12.59 kJ/mol
The work by differ between a and b because the conversion of constant of virial coefficients are valid only for infinite series  
 
        
             
        
        
        
Answer:
1028.1184 Ohms
Explanation:
<u>Given the following data;</u>
- Initial resistance, Ro = 976 Ohms
- Initial temperature, T1 = 0°C
- Final temperature, T2 = 89°C
Assuming the temperature coefficient of resistance for carbon at 0°C is equal to 0.0006 per degree Celsius.
To find determine its new resistance, we would use the mathematical expression for linear resistivity;

Substituting into the equation, we have;




 
        
             
        
        
        
A binary geothermal power operates on the simple Rankine cycle with isobutane as the working fluid. The isentropic efficiency of the turbine, the net power output, and the thermal efficiency of the cycle are to be determined
Assumptions :
1.  Steady operating conditions exist. 
2.  Kinetic and potential energy changes are negligible.
 Properties:  The specific heat of geothermal water (  [) is taken to be 4.18 kJ/kg.ºC.
[) is taken to be 4.18 kJ/kg.ºC.  
Analysis (a) We need properties of isobutane, we can obtain the properties from EES.
a. Turbine
P
=
b. Pump


c. 
 
        
                    
             
        
        
        
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Explanation:
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