Identification of Different Process

Q.

Which of the following is true for an isothermal process?

1. d V = 0

2. d P = 0

3. d T = 0

4. d Q = 0

Q. Two moles of a perfect gas undergo the following processes
(i) a reversible isobaric expansion from (1.0 am, 20.0L) to (1.0 atm, 40.0 L)
(ii) a reversible isochoric change of state from (1.0 atm, 40.0 L) to (0.5 atm, 40.0 L);
(iii) a reversible isothermal compression from (0.5 am, 40.0 L) to (1.0 atm, 20.0 L)
What is the total heat exchange here in Joules?

$ln2=0.7,ln3=1.1,R=1/12Latm/mol,25/3J/molK,1Latm=101J$

Q.

The Carnot cycle has maximum efficiency for:

1. Reversible engine

2. Irreversible engine

3. Petrol engine

4. Diesel engine

Q. A fixed mass 'm' of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure.

The succeding operation that enable this transformation of states are

1. Heating, cooling, heating, cooling
2. Cooling, heating, cooling, heating
3. Heating, cooling, cooling, heating
4. Cooling, heating, heating, cooling

Q. The polytropic process for an ideal gas is given as $P{V}^n=\text{constant}$. For this process, the expression for the work obtained is:
$W=\frac{P_1{V}_1[{\left(\frac{V_2}{V_1}\right)}^x-1]}{\left(y\right)}$
What is the value of $(x+y)$?

Q. The process, in which no heat enters or leaves the system, is termed as

1. Adiabatic
2. Isobaric
3. Isochoric
4. Isothermal

Q. Two moles of a perfect gas undergo the following processes
I. A reversible isobaric expansion from (1.0 atm. 20 L) to (1.0 atm, 40 L)
II. A reversible isochoric exansion from (1.0 atm, 40 L) to (0.5 atm, 40 L)
III. A reversible isothermal compression from (0.5 atm, 40 L) to (1.0 atm. 20 L)
Calculate the total work done (W) involved in the above processes.

1. -620.77 J
2. 620.77 J
3. -120.77 J
4. 120.77 J

Q.

What are the properties of perfect gas?

Q. The process, in which no heat enters or leaves the system, is termed as

1. Isochoric
2. Isobaric
3. Isothermal
4. Adiabatic

Q. In thermodynamics, the $P-V$ work done is given by $w=-\int dV{P}_{ext}$. For a system undergoing a particular process, the work done is,

$w=-\int dV(\frac{RT}{V-b}-\frac{a}{V^2})$

This equation is applicable to a

1. System that satisfies the van der Waals equation of state.
2. Process that is reversible and adiabatic.
3. Process that is irreversible and at constant pressure.
4. Process that is reversible and isothermal.

Q. Temperature of a system decreases during

1. Adiabatic compression
2. Isothermal compression
3. Adiabatic expansion
4. Isothermal expansion

Q. A real gas is expected to exhibit maximum deviations from ideal gas law at:

1. low T and low P
2. low T and high P
3. high T and high P
4. high T and low P

Q. $1$ mole of $C{O}_2$ gas at $300K$ is expanded under reversible adiabatic condition such that its volume becomes $27$ times.
(a) What is the final temperature
(b) What is work done?
Given $\gamma =1.33$ and $C_V=25.08Jmo{l}^{-1}{K}^{-1}$ for $C{O}_2$.

Q. During adiabatic expansion of an ideal gas

1. 
2. 
3. 
4. 

Q. Three moles of an ideal gas initially at ${27}^{o}C$ and $40L$ volume are compressed isothermally and reversibly till the final volume of the gas is $10L$. Calculate $q$ for the process.
Take:
$log\left(0.25\right)=0.602$

1. $-3.65kJ$
2. $-23.2kJ$
3. $-10.37kJ$
4. $-7.81kJ$

Q. A fixed mass'm' of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure.

The pair of isochoric processes among the transformation of states is

1. M to N and N to K
2. L to M and N to K
3. L to M and M to N
4. K to L and L to M

Q. 1 mole of $C{O}_2$ gas at 300 K is expanded under a reversible adiabatic condition such that its volume becomes 27 times.
(a) What is the final temperature? (b) What is the work done?
(Given $\gamma$ = 1.33 and $C_v$ = 25.08 J ${mol}^{-1}{K}^{-1}$ for ${CO}_2$)

Q. Carbon monoxide is allowed to expand isothermally and reversibly from $10m^{3}to20m^3$ at $300K$ and work obtained is $4.754kJ$. Calculate the number of moles of carbon monoxide

1. $27.5mol$
2. $5.5mol$
3. $2.75mol$
4. $55.0mol$

Q. $1$ mole of an ideal non-linear triatomic gas is adiabatically expanded from $16$ atm, $300K$ to $1$ atm. Calculate $q,W,\Delta U,\Delta H$ if process is carried out reversibly.

Q. In an adiabatic process the quantity which remains constant is:

1. total heat of system
2. tempertature
3. volume
4. pressure

Q. Assertion :The heat absorbed during the isothermal expansion of an ideal gas against vacuum is zero. Reason: The volume occupied by the molecules of an ideal gas is zero.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Assertion is incorrect but Reason is correct

Q. In thermodynamics, the $P-V$ work done is given by $w=-\int dV{P}_{ext}$. For a system undergoing a particular process, the work done is,

$w=-\int dV(\frac{RT}{V-b}-\frac{a}{V^2})$

This equation is applicable to a

1. System that satisfies the van der Waals equation of state.
2. Process that is reversible and isothermal.
3. Process that is reversible and adiabatic.
4. Process that is irreversible and at constant pressure.

Q. The polytropic process for an ideal gas is given as $P{V}^n=\text{constant}$. For this process, the expression for the work obtained is:
$W=\frac{P_1{V}_1[{\left(\frac{V_2}{V_1}\right)}^x-1]}{\left(y\right)}$
What is the value of $(x+y)$?

Q.

Which of the following is true for an isothermal process?

1. d Q = 0

2. d V = 0

3. d P = 0

4. d T = 0

Q.

Which of the following is zero for an isochoric process

1. dT
2. dE
3. dV
4. dP

Q. In each of the following question, an Assertion (A) is followed by a corresponding Reason (R). Use the following keys to choose the appropriate answer:

Assertion (A): The heat absorbed during the isothermal expansion of an ideal gas against vacuum is zero.
Reason (R): The volume occupied by the molecules of an ideal gas is zero.

1. If both (A) and (R) are correct, and (R) is the correct explanation for (A).
   
2. If the both (A) and (R) are correct, but (R) is not the correct explanation for (A).
3. If (A) is correct, but (R) is incorrect.
   
4. If (A) is incorrect, but (R) is correct.
5. If both (A) and (R) are incorrect.

Q.

Three mole of Ag is heated from 300 K to 1000 K. Calculate ΔH when P = 1 atm and ${\mathrm{C}}_{\mathrm{P}}=23+0.01\mathrm{T}.$

1. 62 kJ/mol

2. 45 kJ/mol

3. 38 kJ/mol

4. 54 kJ/mol

Q. In each of the following question, an Assertion (A) is followed by a corresponding Reason (R). Use the following keys to choose the appropriate answer:

Assertion (A): The heat absorbed during the isothermal expansion of an ideal gas against vacuum is zero.
Reason (R): The volume occupied by the molecules of an ideal gas is zero.

1. If both (A) and (R) are correct, and (R) is the correct explanation for (A).
   
2. If the both (A) and (R) are correct, but (R) is not the correct explanation for (A).
3. If (A) is correct, but (R) is incorrect.
   
4. If (A) is incorrect, but (R) is correct.
5. If both (A) and (R) are incorrect.

Q. If true enter 1, if false enter 0.
Gases having $V_m>22.4$ are more compressible

1. 1

Q. Two moles of a perfect gas undergo the following processes
I. A reversible isobaric expansion from (1.0 atm. 20 L) to (1.0 atm, 40 L)
II. A reversible isochoric exansion from (1.0 atm, 40 L) to (0.5 atm, 40 L)
III. A reversible isothermal compression from (0.5 atm, 40 L) to (1.0 atm. 20 L)
Calculate the total work done (W) involved in the above processes.

1. -620.77 J
2. 620.77 J
3. -120.77 J
4. 120.77 J