Test: Thermodynamic Relations - 3


10 Questions MCQ Test Thermodynamics | Test: Thermodynamic Relations - 3


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QUESTION: 1

Match List-I with List-ll and select the correct answer using the codes given below the lists:
List-I
A. Volume expansivity (β)
B. Joule-kelvin coefficient (μJ)
C. Adiabatic compressibility (KS)
List-ll
1. 
2. 
3. 
4. 
Codes:
      A  B C
(a)  3  4  1
(b)  2  4  1
(c)  3  1  4
(d)  2  1  4

Solution:

Volume expansivity

Joule thomson coefficient

Adiabatic compressibility

QUESTION: 2

When a real gas undergoes Joule-thomson expansion the temperature

Solution:


If μ is positive ⇒ temperature decreases during throttling
If μ is negative ⇒ Temperature increases during throttling.   

QUESTION: 3

The specific heat relation is

Solution:


we get

QUESTION: 4

TdS equation is

Solution:
QUESTION: 5

It can be shown that for simple compressible substance, the relationship  exists where, Cp & Cv are specific heats at constant pressure and constant volume respectively. T is temperature, Vis volume and Pis pressure. Which one of the following statements is NOT true?

Solution:


Since  is always positive and for any substance is negative (C- Cv) Is always positive. Therefore Cp is always greater then Cv. When = 0 (for water at 4°C when density is maximum or specific volume minimum), Cp - Cv

QUESTION: 6

For a given volume of dry saturated steam Clapeyron’s equation is given by

Solution:
QUESTION: 7

For a single component two-phase mixture the number of independent variable properties are

Solution:

From the Gibb’s phase rule
C + 2 = P + F
C = 1 (Single component)
P = 2 (Two-phase)
F = C + 2 - P - 1 + 2 - 2 
F = 1

QUESTION: 8

On a P - V diagram of an ideal gas, suppose a reversible a diabatic line intersects a reversible isothermal line at point A.Then at point A, the slope of the reversible adiabatic line and the slope of the reversible isothermal line are related as

Solution:


QUESTION: 9

Which of the following identities can be most easily used to verify steam table data for superheated steam

Solution:
QUESTION: 10

For a pure substance, the Maxwell’s reiatior obtained from the fundamental property relation du = Ids - Pdv is 

Solution:

Given,
dU = Tds - Pdv
This is an exact differential equation, so

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