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QUESTION: 1

Match List-I with List-ll and select the correct answer using the codes given below the lists:

List-I

A. Volume expansivity (β)

B. Joule-kelvin coefficient (μ_{J})

C. Adiabatic compressibility (K_{S})

List-ll

1.

2.

3.

4.

Codes:

A B C

(a) 3 4 1

(b) 2 4 1

(c) 3 1 4

(d) 2 1 4

Solution:

Volume expansivity

Joule thomson coefficient

Adiabatic compressibility

QUESTION: 2

When a real gas undergoes Joule-thomson expansion the temperature

Solution:

If μ is positive ⇒ temperature decreases during throttling

If μ is negative ⇒ Temperature increases during throttling.

QUESTION: 3

The specific heat relation is

Solution:

we get

QUESTION: 4

TdS equation is

Solution:

QUESTION: 5

It can be shown that for simple compressible substance, the relationship exists where, C_{p} & C_{v} are specific heats at constant pressure and constant volume respectively. T is temperature, Vis volume and Pis pressure. Which one of the following statements is NOT true?

Solution:

Since is always positive and for any substance is negative (C_{p }- C_{v}) Is always positive. Therefore C_{p }is always greater then C_{v}. When = 0 (for water at 4°C when density is maximum or specific volume minimum), C_{p} - C_{v}.

QUESTION: 6

For a given volume of dry saturated steam Clapeyron’s equation is given by

Solution:

QUESTION: 7

For a single component two-phase mixture the number of independent variable properties are

Solution:

From the Gibb’s phase rule

C + 2 = P + F

C = 1 (Single component)

P = 2 (Two-phase)

F = C + 2 - P - 1 + 2 - 2

F = 1

QUESTION: 8

On a P - V diagram of an ideal gas, suppose a reversible a diabatic line intersects a reversible isothermal line at point A.Then at point A, the slope of the reversible adiabatic line and the slope of the reversible isothermal line are related as

Solution:

QUESTION: 9

Which of the following identities can be most easily used to verify steam table data for superheated steam

Solution:

QUESTION: 10

For a pure substance, the Maxwell’s reiatior obtained from the fundamental property relation du = Ids - Pdv is

Solution:

Given,

dU = Tds - Pdv

This is an exact differential equation, so

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