Thermodynamic Relations, Equilibrium and Stability

This is an MCQ-based quiz on the topic of Thermodynamic Relations, Equilibrium and Stability

This includes the following:-

Maxwell’s Equations and TDS Equations
Difference in Heat Capacities and their Ratio
Energy Equation
Joule Kelvin Effect
Clausius Clapeyron Equation
Evaluation of Thermodynamic Properties from an Equation of State
Mixtures of Variable Composition
Types of Equilibrium

Start Quiz

Which of the following is not a Maxwell equation?

(∂T/∂V) = -(∂p/∂S) (∂T/∂p) = -(∂V/∂S) (∂p/∂T) = (∂S/∂V) (∂V/∂T) = -(∂S/∂p)

The first TdS equation is

TdS=Cv*dT + T(∂T/∂p)dV TdS=Cv*dT – T(∂p/∂T)dV TdS=Cv*dT + T(∂p/∂T)dV TdS=Cv*dT – T(∂T/∂p)dV

The second TdS equation is

TdS=Cp*dT + T(∂V/∂T)dp TdS=Cp*dT – T(∂V/∂T)dp TdS=Cp*dT + T(∂T/∂V)dp TdS=Cp*dT – T(∂T/∂V)dp

For a system which undergoes an infinitesimal reversible process between two equilibrium states, the change in internal energy is

dU = pdV – TdS dU = TdS + pdV dU = TdS – pdV dU = -TdS – pdV

The energy equation is given by

(∂U/∂V) = T*(∂p/∂T) + p (∂U/∂V) = T*(∂p/∂T) – p (∂U/∂V) = -T*(∂p/∂T) – p (∂U/∂V) = p – T*(∂p/∂T)

If u is the energy density then pressure(p) exerted by the black-body radiation in an enclosure is

u/2 u/3 u/4 u

If the temperature is half the original temperature, the volume of black-body radiation is to be ____ adiabatically ____ times its original volume for radiation to remain at equilibrium.

Decreased, four

Decreased, eight

Increased, four

Increased, eight

If the temperature is constant, internal energy

Changes with change in p

Changes with change in V

Changes with change in both p and V

Does not change with change in p or V

If temperature is constant, internal energy does not change.

True

False

For getting TdS equations, we assume entropy to be a function of T and V and also of T and p.

True

False

The condition for exact differential is

(∂N/∂y) = (∂M/∂x)

(∂M/∂y) = (∂N/∂x)

(∂M/∂y) = -(∂N/∂x)

All of the mentioned

Maxwell’s equations consists of ____ equations.

Four

Three

Two

One

Which of the following relation is correct?

dU=TdS-pdV

dH=TdS+Vdp

dG=Vdp-SdT

All of the mentioned

A pure substance which exists in a single phase has ____ independent variables.

Zero

One

Two

Three

If a relation exists among variables x,y,z then z may be expressed as a function of x and y as, dz=Mdx+Ndy .

True

False

Quiz/Test Summary

Title: Thermodynamic Relations, Equilibrium and Stability

Questions: 15

Contributed by:

NEO Tue, Apr 19, 2022 07:21 AM UTC

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