Which is the correct statement ?

(1) For an isothermal change PV = constant

(2) In an isothermal process the change in internal energy must be equal to the work done

(3) For an adiabatic change $\frac{{P}_{2}}{{P}_{1}}={\left(\frac{{V}_{2}}{{V}_{1}}\right)}^{\gamma }$, where γ is the ratio of specific heats

(4) In an adiabatic process work done must be equal to the heat entering the system

Concept Questions :-

Types of processes
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Difficulty Level:

The slopes of isothermal and adiabatic curves are related as -

(1) Isothermal curve slope = adiabatic curve slope

(2) Isothermal curve slope = γ × adiabatic curve slope

(3) Adiabatic curve slope = γ × isothermal curve slope

(4) Adiabatic curve slope = $\frac{1}{2}×$ isothermal curve slope

Concept Questions :-

Types of processes
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Difficulty Level:

Pressure-temperature relationship for an ideal gas undergoing adiabatic change is $\left(\gamma ={C}_{p}/{C}_{v}\right)$

(1) $P{T}^{\gamma }=$ constant

(2) $P{T}^{-1+\gamma }=$ constant

(3) ${P}^{\gamma -1}{T}^{\gamma }=$ constant

(4) ${P}^{1-\gamma }{T}^{\gamma }=$ constant

Concept Questions :-

Types of processes
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Difficulty Level:

During the adiabatic expansion of 2 moles of a gas, the internal energy of the gas is found to decrease by 2 joules, the work done during the process by the gas will be equal to -

(1) 1 J

(2) –1 J

(3) 2 J

(4) – 2 J

Concept Questions :-

First law of thermodynamics
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Difficulty Level:

If $\gamma$ denotes the ratio of two specific heats of a gas, the ratio of slopes of adiabatic and isothermal PV curves at their point of intersection is

(1) $\frac{1}{\gamma }$

(2) $\gamma$

(3) $\gamma -1$

(4) $\gamma +1$

Concept Questions :-

Types of processes
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Difficulty Level:

Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position. With the passage of time

(1) The pressure decreases

(2) The pressure increases

(3) The pressure remains the same

(4) The pressure may increase or decrease depending upon the nature of the gas

Concept Questions :-

Types of processes
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Difficulty Level:

The adiabatic Bulk modulus of a perfect gas at pressure P is given by

(1) P

(2) 2P

(3) P/2

(4) γ P

Concept Questions :-

Types of processes
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Difficulty Level:

An adiabatic process occurs at constant

(1) Temperature

(2) Pressure

(3) Heat

(4) Temperature and pressure

Concept Questions :-

Types of processes
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Difficulty Level:

A polyatomic gas $\left(\gamma =\frac{4}{3}\right)$ is compressed to $\frac{1}{8}$ of its volume adiabatically. If its initial pressure is P0, its new pressure will be -

(1) 8 P0

(2) 16 P0

(3) 6 P0

(4) 2 P0

Concept Questions :-

Types of processes
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Difficulty Level:

For adiabatic processes $\left(\gamma =\frac{{C}_{p}}{{C}_{v}}\right)$

(1) ${P}^{\gamma }V$ = constant

(2) ${T}^{\gamma }V$ = constant

(3) $T{V}^{\gamma -1}$ = constant

(4) $T{V}^{\gamma }$ = constant

Concept Questions :-

Types of processes