HARD

JEE Main

IMPORTANT

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Find the molar heat capacity of an ideal gas in a polytropic process $p V^{n} =$ constant, if the adiabatic exponent of the gas is equal to $γ$ . At what values of the polytropic constant $n$ will the heat capacity of the gas be negative?

Important Questions on THERMODYNAMICS AND MOLECULAR PHYSICS

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.46.

In a certain polytropic process, the volume of argon was increased $α = 4.0$ times. Simultaneously the pressure is decreased by $β = 8.0$ times. Find the molar heat capacity of argon in this process, assuming the gas to be ideal.

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.47.

One mole of argon is expanded polytropically, the polytropic constant being

n = 1.50

. In the process, the gas temperature changes by

Δ T = - 26 K

Find,

(a)

the amount of heat obtained by the gas,

(b)

the work performed by the gas.

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.48.

An ideal gas whose adiabatic exponent equals

γ

, is expanded according to the law

p = α V

, where,

α

is a constant. The initial volume of the gas is equal to

V_{0}

. As a result of expansion, the volume increases

η

times. Find,

(a)

the increment of the internal energy of the gas,

(b)

the work performed by the gas,

(c)

the molar heat capacity of the gas in the process.

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.49.

An ideal gas whose adiabatic exponent equals

γ

, is expanded, so that the amount of heat transferred to the gas is equal to the decrease of its internal energy. Find

(a)

the molar heat capacity of the gas in this process,

(b)

the equation of the process in the variables

T, V

(c)

the work performed by one mole of the gas, when its volume increases

η

times, if the initial temperature of the gas is

T_{0}

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.50.

One mole of an ideal gas whose adiabatic exponent equals

γ

, undergoes a process in which the gas pressure relates to the temperature as

p = a T^{α}

, where

a

and

α

are constants. Find,

(a)

the work performed by the gas, if its temperature gets an increment

Δ T

(b)

the molar heat capacity of the gas in this process, at what value of

α

, will the heat capacity be negative?

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.51.

An ideal gas with the adiabatic exponent

γ

, undergoes a process in which its internal energy relates to the volume as

U = a V^{α}

, where,

a

and

α

are constants. Find,

(a)

the work performed by the gas and the amount of heat to be transferred to this gas to increase its internal energy by

Δ U

(b)

the molar heat capacity of the gas in this process.

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.52.

An ideal gas has a molar heat capacity

C_{V}

at a constant volume. Find the molar heat capacity of this gas as a function of its volume

V

, if the gas undergoes the following process,

(a)

T = T_{0} e^{α V}

(b)

p = p_{0} e^{α V}

,
where,

T_{0}, p_{0}

and

α

, are constants.

HARD

JEE Main

IMPORTANT

Problems in General Physics>Chapter 2 - THERMODYNAMICS AND MOLECULAR PHYSICS>THE FIRST LAW OF THERMODYNAMICS, HEAT CAPACITY>Q 2.53.

One mole of an ideal gas whose adiabatic exponent equals

γ

, undergoes a process

p = p_{0} + \frac{α}{V}

, where

p_{0}

and

α

are positive constants. Find

(a)

heat capacity of the gas as a function of its volume,

(b)

the internal energy increment of the gas, the work performed by it, and the amount of heat transferred to the gas, if its volume is increased from

V_{1}

V_{2}

Find the molar heat capacity of an ideal gas in a polytropic process pVn= constant, if the adiabatic exponent of the gas is equal to γ. At what values of the polytropic constant n will the heat capacity of the gas be negative?

Important Questions on THERMODYNAMICS AND MOLECULAR PHYSICS

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Find the molar heat capacity of an ideal gas in a polytropic process $p V^{n} =$ constant, if the adiabatic exponent of the gas is equal to $γ$ . At what values of the polytropic constant $n$ will the heat capacity of the gas be negative?