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11
For a reversible process involving only pressure-volume work
Discuss
Answer & Solution
Answer: Option C
Solution:
Here the $$F$$ is Gibbs free energy and $$A$$ is Helmholtz free energy.
Since for an reversible process $$Tds = dU + PdV$$
For, constant temperature and constant pressure process the above equation can be written as
$$\eqalign{ & d\left( {TS - U} \right) = PdV \cr & \Rightarrow d\left( { - A} \right) > PdV \cr & \Rightarrow {\left( {dF} \right)_{T,\,P}} = 0. \cr} $$
For reversible process.
12
In an ideal solution, the activity of a component equals its
Discuss
Answer & Solution
Answer: Option A
Solution:
For an ideal solution the activity is equal to the mole fraction.
13
Water on heating from 1 to 4°C
Discuss
Answer & Solution
Answer: Option A
Solution:
We all know that water shows an unusual property of contracting when heating from 1 to 4o C.
14
Work done in an adiabatic process between two states depends on the
Discuss
Answer & Solution
Answer: Option C
Solution:
End states can be determined from the internal energy levels at those states. If we are considering a system S, the heat energy (dQ) can be used to do work (dW) or to store energy as potential energy (dU).
$${\text{dQ}} = {\text{dW}} + {\text{dU}}$$
The interesting thing is that, for an adiabatic process dQ will be zero. So, the work done in an adiabatic process depends only on the internal energy. i.e. end states.
15
Which is a state function?
Discuss
Answer & Solution
Answer: Option B
Solution:
State Functions. The thermodynamic state of a system refers to the temperature, pressure and quantity of substance present. State functions only depend on these parameters and not on how they were reached. Examples of state functions include density, internal energy, enthalpy, entropy.
So, the correct answer is pressure and temperature.
16
Pick out the wrong statement.
Discuss
Answer & Solution
Answer: Option D
Solution:
All the given statements are correct.
Raoult's law is applicable for ideal solutions only and Henry’s law is applicable at infinite dilution.
17
Which is not a refrigerant?
Discuss
Answer & Solution
Answer: Option D
Solution:
Since, C2H4Cl2 doesn’t meet the requirements of a good refrigerant like conductivity, specific heats etc.. It is not considered as a refrigerant.
18
Work done is a
Discuss
Answer & Solution
Answer: Option B
Solution:
Work done is a path function since its value depends on the path followed by the thermodynamic process.
19
For a constant pressure reversible process, the enthalpy change (ΔH) of the system is
Discuss
Answer & Solution
Answer: Option C
Solution:
By the definition of $${C_P}$$ we can write $${C_P} = \mathop {\lim }\limits_{\delta T \to 0} {\left( {\frac{{\delta Q}}{{\delta T}}} \right)_P}.$$
Under constant pressure process, and by first law of thermodynamics $$Q = dH.$$
$$\eqalign{ & \Rightarrow {\left( {\frac{{\partial H}}{{\partial T}}} \right)_P} = {C_P} \cr & \Rightarrow \Delta H = \int {{C_P}.dT} \cr} $$
20
In an ideal gas mixture, fugacity of a species is equal to its
Discuss
Answer & Solution
Answer: Option B
Solution:
Fugacity for ideal gas mixture is equal to its partial pressure but for a real gas mixture it is not equal to partial pressure higher the difference between fugacity and partial pressure higher is the non-ideality actually the fugacity coefficient acts as a measure of non-ideality.