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A sample of an ideal non linear triatomic gas has a pressure $P_{0}$ and temperature $T_{0}$ taken through the cycle as shown starting from $A$ . Pressure for process $C \to D$ is $3$ times $P_{0}$ . Calculate heat absorbed in the cycle and work done.

Important Questions on Thermodynamics

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Beta Question Bank for Engineering: Physics>Chapter 17 - Thermodynamics>Exercise-4>Q 5

Two moles of an ideal monoatomic gas are confined within a cylinder by a massless and frictionless spring-loaded piston of cross-sectional area

4 \times 10^{- 3} m^{2}

. The spring is, initially in its relaxed state. Now the gas is heated by an electric heater, placed inside the cylinder, for some time. During this time, the gas expands and does

50 J

of work in moving the piston through a distance

0.10 m

. The temperature of the gas increases by

50 K

. Calculate the spring constant and the heat supplied by the heater.

P_{atm} = 1 \times 10^{5} N m^{- 2}, R = 8.314 J {mol}^{- 1} - K^{- 1}

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Beta Question Bank for Engineering: Physics>Chapter 17 - Thermodynamics>Exercise-4>Q 6

A weightless piston divides a thermally insulated cylinder into two parts of volumes

V

and

3 V . 2 moles

of an ideal gas at pressure

P = 2

atmosphere are confined to the part with volume

V = 1 liter

. The remainder of the cylinder is evacuated. The piston is now released and the gas expands to fill the entire space of the cylinder. The piston is then pressed back to the initial position. Find the increase of internal energy in the process and final temperature of the gas. The ratio of the specific heats of the gas,

γ = 1.5 .

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Beta Question Bank for Engineering: Physics>Chapter 17 - Thermodynamics>Exercise-4>Q 7

A non-conducting cylindrical vessel of length,

3 l

is placed horizontally & is divided into three parts by two easily moving pistons having low thermal conductivity as shown in the figure. These parts contains

H_{2}, He

and

{CO}_{2}

gad at initial temp.

θ_{1} = 372^{0} C

θ_{2} = 15^{0} C

and

θ_{3} = 157^{0} C

respectively. If the initial length and pressure of each part are

l

and

P_{0}

respectively, calculate the final pressure and length of each part. Use:

γ_{{co}_{2}} = \frac{7}{5}

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Beta Question Bank for Engineering: Physics>Chapter 17 - Thermodynamics>Exercise-4>Q 8

The figure shows an insulated cylinder divided into three parts

A, B

and

C

. Pistons

I

and

II

are connected by a rigid rod and can move without friction inside the cylinder. Piston

I

is perfectly conducting while piston

II

is perfectly insulating. The initial state of the gas

(γ = 1.5)

present in each compartment

A, B

and

C

is as shown. Now, compartment,

A

is slowly given heat through a heater,

H

such that the final volume of

C

becomes

\frac{4 V_{0}}{9}

. Assume the gas to be ideal and find.

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(a) Final pressures in each compartment $A, B$ and $C$

(b) Final temperatures in each compartment $A, B$ and $C$

(d) Work done by gas in $A$ and $B$ .

(e) Heat flowing across piston $I$ .

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Beta Question Bank for Engineering: Physics>Chapter 17 - Thermodynamics>Exercise-4>Q 9

An ideal diatomic gas undergoes a process in which its internal energy relates to the volume as

U = a \sqrt{V}

, where a is a constant. (i) find the work performed by the gas and the amount of heat to be transferred to this gas to increase its internal energy by

100 J

. (ii) find the molar specific heat of the gas for this process.

A sample of an ideal non linear triatomic gas has a pressure P0 and temperature T0 taken through the cycle as shown starting from A. Pressure for process C→D is 3 times P0. Calculate heat absorbed in the cycle and work done.

Important Questions on Thermodynamics

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A sample of an ideal non linear triatomic gas has a pressure $P_{0}$ and temperature $T_{0}$ taken through the cycle as shown starting from $A$ . Pressure for process $C \to D$ is $3$ times $P_{0}$ . Calculate heat absorbed in the cycle and work done.