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41
__________ decreases during adiabatic throttling of a perfect gas.
Discuss
Answer & Solution
Answer: Option D
Solution:
During Throttling under adiabatic conditions the pressure energy decreases because some of the pressure energy gets lost as frictional losses thereby increase in intermolecular energy. Hence always there will be loss in pressure energy there by reducing the pressure.
42
Cv is given by
Discuss
Answer & Solution
Answer: Option A
Solution:
Definition of $${C_V}$$ : when we add the heat to a system which is undergoing only expansion work or $$PdV$$ work at constant volume than the amount of heat required to raise the temperature by an infinitesimal amount is called as $${C_V}$$.

$${C_V} = \mathop {\lim }\limits_{\delta T \to \,0} \frac{{\partial Q}}{{\partial T}}$$

By first law of thermodynamics: $$\delta Q = dU + \delta W\left( {PdV} \right)$$     Since here $$dV=0$$
$$\delta Q = dU$$
So, $${C_V} = {\left( {\frac{{dU}}{{dT}}} \right)_V}.$$   Where $$U=$$  internal energy.
43
Kopp's rule is used to calculate the heat capacity of
Discuss
Answer & Solution
Answer: Option A
Solution:
Kopp's rule states that the heat capacities of a molecular compound are sum of the contributions for each element in the compound. And it generally used to find the heat capacities of solids or liquid at $${20^{\text{o}}}C$$   for example the heat capacity of calcium chloride $$\left( {CaC{l_2}} \right)$$   can be written as heat capacity of $$Ca + {2\,\,*}$$   heat capacity of $$Cl$$ .
44
The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is called __________ temperature.
Discuss
Answer & Solution
Answer: Option A
Solution:
The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is called as Boyle temperature.
45
A system in which there is exchange of energy but not of mass, is called a/an __________ system.
Discuss
Answer & Solution
Answer: Option D
Solution:
A system which exchanges the energy but not mass is called as closed system or control mass system where the identity of mass also should remain same.
46
The activity of an ideal gas is numerically __________ its pressure.
Discuss
Answer & Solution
Answer: Option C
Solution:
Activity $$\left( a \right)$$ of a pure ideal gas is defined as:

$$a = \frac{{{\text{fugacity at an temperature and pressure of interest}}}}{{{\text{fugacity at same temperature and standard pressure }}}}$$

usually the, standard pressure $$=$$ 1 atm and for ideal gas fugacity at a temperature and pressure $$=$$ pressure at that conditions
So, $$a=P$$
47
The temperature at the eutectic point of the system is the __________ temperature that can be attained in the system.
Discuss
Answer & Solution
Answer: Option A
Solution:
Eutectic point is a point where the homogeneous mixture will melt or solidifies at a same temperature which will be lower than the melting point of any of the constituents.
48
For a thermodynamic system containing 'x' chemical species, the maximum number of phases that can co-exist at equilibrium is
Discuss
Answer & Solution
Answer: Option C
Solution:
Since, phase rule is $$f\left( {{\text{degree of freedom}}} \right) = C - \emptyset + 2$$
Where, $$C=$$  number of components, $$\emptyset = $$  number of phases,
$$ \Rightarrow \emptyset = C - f + 2$$
So for maximum phases $$f$$ should be minimum $$f$$ cant be negative since it denotes number of variables hence $$f = 0$$
So, $$\emptyset = C + 2$$
Given $$C = X \Rightarrow \emptyset = X + 2$$
49
Isobaric process means a constant process.
Discuss
Answer & Solution
Answer: Option B
Solution:
For an isobaric process the pressure remains constant.
50
For an ideal liquid solution, which of the following is unity?
Discuss
Answer & Solution
Answer: Option C
Solution:
For an ideal liquid solution the activity coefficient will be equal to 1. Since, activity coefficient of a species is defined as
\[{{\gamma }_{i}}=\frac{\text{fugacity of the species in the real solution}\left( \widetilde{{{f}_{l}}} \right)}{\text{fugacity of the species in the ideal solution}\left( \widetilde{{{f}_{l}}^{ld}} \right)}\]
For ideal solution \[\widetilde{{{f}_{l}}}=\widetilde{{{f}_{l}}^{ld}}\]
\[{\rm{So, }}{\gamma _i} = 1\]