- Introduction
- Concept of Heat
- P-V Indicator Digram
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- Work in volume changes
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- Internal Energy and first law of thermodynamics
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- Specific heat capacity of an ideal gas
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- Thermodynamic Processes
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- Quasi static Processes
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- Isothermal Process
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- Adiabatic Process
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- Isochoric process
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- Isobaric process
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- Work done in Isothermal process
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- Work done in an Adiabatic process
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- Heat Engine and efficiency
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- Principle of a Refrigerator
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- Second law of thermodynamics
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- Reversibility and irreversibility
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- Carnot's Heat Engine
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- Carnot Theorem
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- Solved Examples

**Multiple choice questions with one or more answers**

**Q- 1: **It is known that curves A, B, C are Isobaric, Isothermal, Adiabatic process then when one is correct

a, A - Adiabatic, B - Isothermal,, C - Isobaric

b, A- Isothermal,, B - Adiabatic, C - Isobaric

c, A - Isobaric, B - Isothermal C - Adiabatic

d, None of these

**Q- 2:** Which of the following graph correctly represent the variation

δ = dV /V dT

for an ideal gas at constant pressure

a.

b.

c.

d.

**Q- 3:** An ideal gas taken round the cycle ABCA as shown in PV diagram

The work done during the cycle,

a. PV

b. PV/2

c. 2PV

d. PV/3

**Q- 4.** Consider the following statements

(Assertion) The internal energy of an ideal gas does not change during an Isothermal process

(Reason) The decrease in the volume of the gas is compensated by a corresponding increase in pressure when its temperature is constant in accordance with Boyle law

a, Both A & R are true and R is correct Explanation of A

b, Both A & R are true and R is not correct Explanation of A

c, A is true R is false

d, A is false but R is true

**Q- 5:**

A thermally insulated vessel containing an gas when molar mass is M and Ratio of specific heat C_{p} / C_{v} = γ move with a velocity V.The gas temperature increase by ΔT due to sudden stoppage of vessel. Find the value of V in terms of ΔT, M, γ

a, V = [2RΔT / M (γ-1)]^{1/2}

b, V = [2RΔT / M (γ+1)]^{1/2}

c, V = [2RΔT / M (γ-1)^{1/2}]^{1/2}

d, V = [2RΔT / M (γ+1)^{1/2}]^{1/2}

**Q- 6:**Match the column

1, Isobaric process a, AC

2, Isochoric Process b, AB

3, Isothermal Process c, BC

**Q-7:**

An ideal gas is taken through a cyclic thermodynamics process through four steps.

The amount of heat involved in the steps are Q_{1} = 5960 J,Q_{2} = - 5600 J,Q_{3}= -3000 J,Q_{4} = -3600 J

respectively. The corresponding quantities of Internal energy changes are ΔU_{1} = 3.760 J ,ΔU_{2} = - 4800 J,ΔU_{3} = -1800 J,ΔU_{4} = ?

find the value ΔU_{4} & net work done

a, 2930 J, 960 J

b, 2830 J, 900 J

C, 2930 J, -960 J

d, -2930 J, 960 J

**Q-8:**

An ideal gas who ratio of specific heat C_{p} / C_{v} = γ is Expanded according to the law P = av^{2}

when a is constant. The ratio of final volume to Initial value is n .find the ΔU.Intial volume is V_{0}

a, aV_{0}^{3} (n^{3}-1) / γ-1

b. aV_{0}^{2} (n^{2} - 1) / γ-1

c, aV_{0}^{3} (n^{3} + 1) /γ+1

d, aV_{0}^{2} (n^{2} + 1) /γ-1

**Q-9:** During an adiabatic process the square of the pressure of a gas is proportional to the fifth power of its absolute temperature. The ratio of specific heat C_{p} / C_{v} for that gas is

a. 3/5

b. 4/3

c. 5/3

d. 3/2

**Q-10:** A vessel contains 4 mole of O_{2}(relative molar mass 32) at temperature T. The pressure is P. An identical vessel contains 1 mole of nitrogen of temperature 2T. find the pressure the

a P/2

b 2P

c 8P

d P

**Q-11:**

What is the molar specific heat of a isothermal & adiabatic process respectively

a, ∞ , 0

b, 0, ∞

c. 0, 0

d, none of these

**Q-12:** An ideal gas has molar specific heat at constant volume = C_{v}. find the molar heat capacity of this gas as a function of volume V at the gas goes through process.

T = T_{0}(e^{aV} + 1)

a, C_{v} + (R/aV) + (R/aVe^{aV})

b, C_{v} + (R/aV)

c, C_{v}+ (R^{2}/aV)

d, C_{v} - (R^{2}/aV)

**Linked Comphrehension type**

1 mole of a diatomic idea gas is enclosed in a adiabatic cylinder filled with a smooth light adiabatic Piston. The Piston is connected to three spring of spring constant K as shown in figure. The area of crossection of Cylinder is A Initially spring is in its natural length and atmosphere pressure is P_{0}

**Q-13:** find the pressure of the gas

a, P_{0}

b, 2P_{0}

c, P_{0}/2

d, 4P_{0}

**Q-14:** If the heat is supplied to the gas and piston move by distance L due to that then what is the work done by the gas

a, P_{0}AL+ (3/2)KL^{2}

b, P_{0}AL

c, (3/2)KL^{2}

d, P_{0}AL - (3/2)KL^{2}

**Q-15:** if Temp changes by ΔT due to heat transfer and γ=5/2 then Find out the internal energy change

a, RΔT

b, (2/3)RΔT

c, (5/2)RΔT

d, RΔT/2

**Q-16:** Find the total heat supply

a, RΔT +(3/2)KL^{2}

b, P_{0}AL+(3/2)KL^{2}+ (2/3)RΔT

c, RΔT -(3/2)KL^{2}

d, RΔT + P_{0}AL

Find the γ of the mixture

a,[(2γ

b.[(2γ

c.[(2γ

d. None of these

We have a process defined as PV

and we have an adiabatic process defined by PV

and so thermal process defined as PV = Constant

find the Ratio of Bulk modules of Polytropic, adiabatic, isothermal process

a, n:γ:1

b, 1:n:γ

c, n

d, 1:n

a. n

b. n

c. n

d. none of these

Let Q

consider two statements

a, Q

b, W

1, Both A & B are Correct

2, Both A & B are wrong

3. A is Correct Only

4. B is Correct Only.

Match the Column

a, Isothermal process x ΔU = ΔQ

b, Adiabatic Process Y ΔU = ΔQ - ΔW

c, Isobaric process Z ΔU = -ΔW

d, Isochoric process W ΔQ = ΔW

a, a -> x, b-> y, c->z, d->w

b, a->w, b->z, c->x, d->y

c, a->y, b->x, c->z, d->w

d, a->z,b->w,c->y,d->x

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