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Q1. A) A definite mass of mercury is heated from one bar and 20 C to 40 C under constant volume conditions. Calculate the final pressure if ______________ B) Show that there is an entropy generation...

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Q1.
A) A definite mass of mercury is heated from one bar and 20 C to 40 C under constant volume conditions. Calculate the final pressure if ______________
B) Show that there is an entropy generation during the isothermal mixing of two different gases.
Answered Same Day Dec 21, 2021

Solution

David answered on Dec 21 2021
130 Votes
SOLUTION -1
Volume (V) is a function of Pressure (P) & temperature (T)
V= f( P,T)
Partial differential form
dV = (∂V/∂T)P dT + (∂V/∂P)TdP Eq. No. 1
We know that from question
NOTE- value given in question is not quite visible, as what is the power of 10 is not visible, so if I have
taken wrong value, you pls. change in your answer.
Volume co-efficient of expansion for mercury β = 0.182 x 10-4 K-1
The co-efficient of compressibility α = 4.02 x 10-6 Bar-1
T1= 20+273 = 293 K
T2= 40+273 = 313 K
dT= 20 K
As we know that
Volume co-efficient of expansion for mercury β = - (1/V) (∂V/ ∂T) P
The co-efficient of compressibility α = (1/V) (∂V/ ∂P) T
From equation 1 , as we have condition that process is constant volume
So dV = 0
(∂V/∂T)P dT + (∂V/∂P)TdP = 0
Put the value in order to get it in the...
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