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1
With increase in temperature, the internal energy of a substance
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Answer & Solution
Answer: Option A
Solution:
$$dU = CvdT - \left[ {P + T\left( {\frac{{\left( {\frac{{\partial V}}{{\partial T}}} \right)p}}{{\left( {\frac{{\partial V}}{{\partial P}}} \right)T}}} \right)dV} \right]$$
SO, we can say on increasing the temperature the internal energy changes increases physically also when we give heat to a system some of the heat is used for raising the thermal energy of the system and doing some work by the system.
2
$$\gamma $$ = specific heat ratio of an ideal gas is equal to
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Answer & Solution
Answer: Option D
Solution:
The specific heat ratio is given by $$\gamma = \frac{{{C_P}}}{{{C_V}}}$$
Since for an ideal gas $${C_P} - {C_V} = R$$
So, the given all results are correct.
3
The standard Gibbs free energy change of a reaction depends on the equilibrium
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Answer & Solution
Answer: Option B
No explanation is given for this question. Let's Discuss on Board
4
In the ammonia synthesis reaction, N2 + 3H2 ⇋ 2NH3 + 22.4 kcal, the formation of NH₃ will be favoured by
Discuss
Answer & Solution
Answer: Option D
Solution:
Since, the given reaction is an exothermic reaction and change in moles is negative so, by Le Chatelier's principle we can say the reaction is favored by low temperature and high pressure.
5
A liquid under pressure greater than its vapour pressure for the temperature involved is called a __________ liquid.
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Answer & Solution
Answer: Option A
Solution:
A subcooled liquid is at that state where if you want to vapourise the liquid at constant temperature we have to decrease the pressure hence we can say the liquid is at higher pressure under subcooled state.
6
Vapour which is at a pressure smaller than the saturation pressure for the temperature involved is called a __________ vapour.
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Answer & Solution
Answer: Option A
Solution:
. A superheated liquid is at that state where if you want to vapourise the liquid at constant temperature we have to increase the pressure hence we can say the liquid is at lower pressure under subcooled state.
7
The expression, nRT In $$\frac{{{{\text{P}}_1}}}{{{{\text{P}}_2}}}$$, is for the ____ of an ideal gas.
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Answer & Solution
Answer: Option C
Solution:
Since, the expansion work is equal to $$\delta w = PdV$$
Since for an ideal gas
$$\eqalign{ & PV = nRT \cr & \Rightarrow w = \int {\frac{{nRT}}{V}} dV \cr & \Rightarrow w = nRT\ln \left( {\frac{{{P_1}}}{{{P_2}}}} \right) \cr} $$
(hence for an ideal gas under isothermal conditions)
8
Which of the following is not an intensive property?
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Answer & Solution
Answer: Option C
Solution:
An intensive property is one which doesn’t depend on extent or amount of substance present. Since heat capacity is a property that depends on the extent of the substance present that is higher the amount higher is the amount of heat required to raise the temperature of the substance hence heat capacity is an extensive property.
9
In a reversible process
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Answer & Solution
Answer: Option A
Solution:
From second law of thermodynamics :
$$\eqalign{ & TdS \geqslant \delta Q \cr & \Rightarrow TdS \geqslant dU + \delta W \cr} $$
For an irreversible process $$TdS - dU - \delta W > 0$$
And for an reversible process $$TdS - dU - \delta W = 0$$
10
Which of the following is not an intensive property?
Discuss
Answer & Solution
Answer: Option B
Solution:
All the four general energies involved in thermodynamics namely internal energy, gibbs free energy, Helmholtz energy and enthalpy are extensive properties since they are dependent on amount of substance present. Higher the amount of substance higher is their value.