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51
What is the number of degrees of freedom for liquid water in equilibrium with a mixture of nitrogen and water vapor?
Discuss
Answer & Solution
Answer: Option A
Solution:
Given, number of components $$= 2$$
Number of phases $$= 2$$
$$\eqalign{ & {\text{So, }}f = 2 - 2 + 2 \cr & \Rightarrow f = 2 \cr} $$
Assuming no reaction or reaction taking place very slowly.
52
The first law of thermodynamics is a restatement of the law of conservation of
Discuss
Answer & Solution
Answer: Option B
Solution:
The first law of thermodynamics is another form of conservation of energy which states that energy can’t be destroyed or created only it can be converted from one form to another. Here we relate the two energy in transits (heat and work).
53
Entropy of the system decreases, when
Discuss
Answer & Solution
Answer: Option D
Solution:
Since, the degree of randomness decreases when the water is converted to ice the entropy decreases and also in an similar way when the gas is expanding from high pressure to low pressure the entropy increases.
54
The second law of thermodynamics states that
Discuss
Answer & Solution
Answer: Option D
Solution:
One of the corollaries of second law of thermodynamics states that heat can’t be continuously transferred from low temperature body to high temperature body without taking any external work. This is known as clausius statement of second law of thermodynamics.
55
If we increase the pressure on a substance (which is at its triple point), then the triple point
Discuss
Answer & Solution
Answer: Option C
Solution:
For a triple point the degree of freedom is zero. So, we can say any parameter can’t change its state. It is a fixed state point.
56
Maximum work that could be secured by expanding the gas over a given pressure range is the __________ work.
Discuss
Answer & Solution
Answer: Option A
Solution:
The isentropic process is nothing but reversible adiabatic process since between the isothermal and adiabatic process the isothermal process has maximum area under $$P-V$$  diagram the isothermal process will have maximum work done during expansion. Since the slope of $$p-v$$   plot for adiabatic process is greater than isothermal process.
57
The fusion of a crystalline solid at its melting point to form a liquid at the same temperature is accompanied by
Discuss
Answer & Solution
Answer: Option C
Solution:
During fusion process the heat is absorbed by the solid to convert to liquid leading to increase in enthalpy.
58
The minimum number of phases that can exist in a system is
Discuss
Answer & Solution
Answer: Option B
Solution:
A phase indicates physically how a matter is existing. So, minimum it should be $$=1.$$
59
Extensive properties of a thermodynamic system depend upon the __________ of the system.
Discuss
Answer & Solution
Answer: Option C
Solution:
Extensive properties are those which depend upon the extent ($$mass\,$$) of the system. Typical extensive properties are volume, internal energy, Gibbs free energy etc..,
60
Van Laar equation deals with the activity co-efficients in
Discuss
Answer & Solution
Answer: Option A
Solution:
Van Laar equation is an activity based model developed by Van Laar during 1910-1913. Which will be very useful during vapor-liquid equilibrium calculations and the equations for a binary mixture are given as :
$$\eqalign{ & ln{\gamma _1} = \frac{{AX_2^2}}{{{{\left( {\frac{{A{X_1}}}{B} + {X_2}} \right)}^2}}} \cr & ln{\gamma _2} = \frac{{BX_1^2}}{{{{\left( {\frac{{B{X_2}}}{A} + {X_1}} \right)}^2}}} \cr} $$