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Thermodynamics Questions and Answers

1.

In which approach of thermodynamic study, a certain quantity of matter is considered without taking into account the events occurring at molecular level?

Exam Year(s)

DSSSB - 2023,

Answer: B

The macroscopic approach considers a certain quantity of matter without taking into account the events that happen at the molecular level. Properties such as pressure and temperature are measured for the system as a whole. The microscopic and statistical approaches consider the behaviour of the individual molecules, and 'stimulative' is not an approach of thermodynamics, so only the macroscopic approach fits.

The macroscopic approach is also called classical thermodynamics, and it deals with bulk properties such as pressure, volume and temperature rather than molecular motion.

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2.

Which one of the following is an intensive property of a thermodynamic system?

Exam Year(s)

GATE ME - 2022,

Answer: B

The intensive property is density.

An intensive property does not depend on the size or extent of the system: if a system in equilibrium is divided into two parts, each part has the same value. Density is mass per unit volume, so halving the system halves both mass and volume and leaves density unchanged. Pressure and temperature are other examples.

Mass, energy and volume are extensive: they add up over the parts, so each half of the system has half the mass, half the energy and half the volume. Dividing an extensive property by mass gives an intensive one, which is why specific volume and specific energy are intensive while volume and energy are not.

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3.

A The number of properties required to fix the state of a system is given by ‘state postulate’.
R The state of a simple compressible system is completely specified by two independent, intensive properties.

About the statements A and R applied to a single-phase system,

Exam Year(s)

GATE XE - 2023,

Answer: D

Both A and R are correct.

A is right: the state postulate is the rule that says how many independent properties fix the state of a system. R is that rule as it applies to a simple compressible system, one with no significant electrical, magnetic, gravitational, motion or surface-tension effects: two independent intensive properties fix its state.

The word 'independent' matters. In a single-phase region, temperature and pressure are independent and together fix the state, which is why the question restricts itself to a single phase. During a phase change they are tied together and a second property such as specific volume is needed. Options marking either statement incorrect therefore miss the point of the restriction.

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4.

Which of the following is an extensive property of a system?

Exam Year(s)

GATE XE - 2023,

Answer: D

The extensive property is Total mass.

An extensive property depends on the size of the system: split the system in two and each half has half of it. Total mass, total volume and total energy behave this way.

Density, pressure and temperature are intensive: each half of a uniform system has the same density, pressure and temperature as the whole. A quick test is to ask whether the property adds up when two identical systems are combined; mass doubles, but pressure and temperature do not.

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Answer: D

The correct statement is Temperature (T), pressure (P), and specific volume (v) are intensive properties.

An intensive property does not depend on the amount of substance. Temperature and pressure clearly do not, and specific volume is volume per unit mass, which makes it intensive even though volume itself is extensive.

The other statements are false. For an ideal gas, enthalpy depends on temperature only. U, S and H are state (point) functions, not path functions. Heat and work are the path functions: their values depend on the process, not just on the end states.

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