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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

Solution

Which of the following graph correctly represent the variation

$\delta = \frac {dV }{V dT}$

for an ideal gas at constant pressure

Solution

An ideal gas taken round the cycle ABCA as shown in PV diagram

The work done during the cycle,

a. $PV$

b. $\frac {PV}{2}$

c. $2PV$

d. $\frac {PV}{3}$

Solution

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

Solution

A thermally insulated vessel containing an gas when molar mass is M and Ratio of specific heat C

a. $V = [\frac {2R \Delta T} {M (\gamma-1)}]^{1/2}$

b. $V = [\frac {2R \Delta T}{ M (\gamma + 1)}]^{1/2}$

c. $V = [\frac {2R \Delta T}{ M \sqrt {(\gamma-1)}}]^{1/2}$

d. $V = [\frac {2R \Delta T}{ M \sqrt {(\gamma+1)}}]^{1/2}$

Solution

Match the column

a. a-> q, b -> p, c-> r

b. a-> p, b -> q, c-> r

c. a-> r, b -> q, c-> p

d. a-> p, b -> r, c-> q

Solution

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

The amount of heat involved in the steps are Q

respectively. The corresponding quantities of Internal energy changes are ΔU

find the value ΔU

a. 2930 J, 960 J

b. 2830 J, 900 J

C. 2930 J, -960 J

d. -2930 J, 960 J

Solution

An ideal gas who ratio of specific heat C

when a is constant. The ratio of final volume to Initial value is n .find the ΔU.Initial volume is V

a. aV

b. aV

c. aV

d. aV

Solution

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

a. 3/5

b. 4/3

c. 5/3

d. 3/2

Solution

A vessel contains 4 mole of O

a. P/2

b. 2P

c. 8P

d. P

Solution

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

a. ∞ , 0

b. 0, ∞

c. 0, 0

d. none of these

Solution

An ideal gas has molar specific heat at constant volume = C

$T = T_0(e^{aV} + 1)$

a. $C_v + (\frac {R}{aV}) + (\frac {R}{aVe^{aV}})$

b. $C_v + (\frac {R}{aV})$

c. $C_v + (\frac {R^2}{aV})$

d. $C_v - (\frac {R^2}{aV})$

Solution

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 cross-section of Cylinder is A Initially spring is in its natural length and atmosphere pressure is P

find the pressure of the gas

a. $P_0$

b. $2P_0$

c. $\frac {P_0}{2}$

d. $4P_0$

Solution

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. $P_0AL+ \frac {3}{2}KL^2$

b. $P_0AL$

c. $\frac {3}{2}KL^2$

d. $P_0AL- \frac {3}{2}KL^2$

Solution

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

a. $R \Delta T$

b. $ \frac {2}{3}R \Delta T$

c.$ \frac {5}{2} R \Delta T$

d. $ \frac {1}{2} R \Delta T$

Solution

Find the total heat supply

a. $R \Delta T +\frac {3}{2}KL^2$

b. $P_0 AL+\frac {3}{2}KL^2 + \frac {2}{3} R \Delta T$

c. $R \Delta T -\frac {3}{2}KL^2$

d. $R \Delta T + P_0AL$

Solution

One mole of ideal gas having adiabatic coefficient γ

Find the γ of the mixture

a.$ \frac {(2 \gamma _1 \gamma _2 - \gamma _1 - \gamma _2 ) }{( \gamma _1 + \gamma _2 - 2)}$

b.$ \frac {(2 \gamma _1 \gamma _2 - \gamma _1 - \gamma _2 ) }{( \gamma _1 + \gamma _2 + 2)}$

c.$ \frac {(2 \gamma _1 \gamma _2 + \gamma _1 - \gamma _2 ) }{( \gamma _1 + \gamma _2 - 2)}$

d. None of these

Solution

We have a process defined as $PV^n = constant$

and we have an adiabatic process defined by $PV^{\gamma} = Constant$

and so thermal process defined as $PV = Constant$

find the Ratio of Bulk modules of Poly-tropic, adiabatic, isothermal process

a. $n: \gamma : 1$

b. $1 : n : \gamma$

c. $n^2 : \gamma ^2 : 1$

d. $1 : n^2 : \gamma ^2$

Solution

Find the wok done in the cyclic process as shown in figure

a. $\frac {n^2PV}{2}$

b.$\frac {n^2PV}{8}$

c. $\frac {n^2PV}{16}$

d. none of these

Solution

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.

Solution

Match the Column

a. Isothermal process

b. Adiabatic Process

c. Isobaric process

d. Isochoric process

x. ΔU = ΔQ

y. ΔU = ΔQ - ΔW

z. ΔU = -ΔW

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

Solution

The ratio of adiabatic bulk modulus and isothermal bulk modulus of a gas ($\gamma = \frac {C_p}{C_v}$) is

a. $ \frac {\gamma -1}{\gamma}$

b. 1

c. $\gamma $

d. $ \frac {\gamma}{\gamma -1 }$

Solution

Two boxes A and B containing different ideal gases are placed on table

Box A contain one mole of gas m where (C

Box B contains one mole of gas n where (C

The boxes are then put into thermal contact with each other and heat flows between until the gases reach a common final temperature T

Which of the following relation is correct?

a. 2T

b. 2T

c. 2T

d. T

Solution

Which one of the following statement is true about a gas undergoing isothermal change

a. The temperature of the gas is constant

b. The pressure of the gas remains constant

c. the volume of the gas remains constant

d. The gas is completely insulated from the surrounding’s

Solution

Three copper blocks of masses $M_1$, $M_2$ and $M_3$ kg respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at $T_1$, $T_2$, $T_3$ ($T_1 > T_2 > T_3$ ). Assuming there is no heat loss to the surroundings, the equilibrium temperature T is (s is specific heat of copper)

a. $ \frac {T_1 + T_2 + T_3}{3}$

b. $ \frac {M_1T_1 + M_2T_2 + M_3T_3}{M_1 + M_2 + M+3}$

c. $ \frac {M_1T_1 + M_2T_2 + M_3T_3}{3(M_1 + M_2 + M+3)}$

d. $ \frac {M_1T_1s + M_2T_2s + M_3T_3s}{3(M_1 + M_2 + M+3)}$

Solution

One mole of an ideal gas goes through the cyclic process ABCA. Pressure at State A = $P_0$

Which of the following is correct

a. Pressure at C is $\frac {P_0}{4}$

b. temperature at C is $\frac {T_0}{4}$

c. $W_{AB}=P_0V_0 ln 4$

d. $U_A = $U_B$

Solution

The figure shows the P-V plot of an ideal gas taken through a cycle ABCDA. The part ABC is a semi-circle and CDA is half of an ellipse. Then -

a. the process during the path A ? B is isothermal

b. heat flows out of the gas during the path B ? C ? D

c. work done during the path A ? B ? C is zero

d. positive work is done by the gas in the cycle ABCDA

Solution

- Introduction
- Concept of Heat
- P-V Indicator Digram
- |
- Work done by Gas in volume changes
- |
- Internal Energy
- |
- First Law of Thermodynamics
- |
- Specific Heat Capacity of Ideal GAS
- |
- Thermodynamic Processes
- |
- Quasi static Processes
- |
- Isothermal Process
- |
- Adiabatic Process
- |
- Isochoric process
- |
- Isobaric process
- |
- Cyclic process
- |
- Work done in Isothermal process
- |
- Work done in an Adiabatic process
- |
- Heat Engine and efficiency
- |
- Principle of a Refrigerator
- |
- Second law of thermodynamics
- |
- Reversibility and irreversibility
- |
- Carnot's Heat Engine
- |
- Carnot Theorem
- |
- Solved Examples

- Thermodynamics Questions
- |
- Multiple Choice Questions
- |
- P-V diagram Problems and Solutions
- |
- Carnot Cycle Problems

Class 11 Maths Class 11 Physics Class 11 Chemistry

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