# Jaypee Institute of Information Technology (JIIT) 2008 B.E Test 1 : Statistical Thermodynamics - Question Paper

JAVPKR r.MVERSl n OF INFORMATION TECHNOLOGY .WAKNAGHAT IKS I I FKBRlARV 2008 B.TEC'H IV SEMESTER (BI)

Course Code: 07&41PIIKK. Max. Marks: 20

Course Name: Statistical Thrrmoihnamict

Course C redits: 4 Max. Time: I hr.

Ql. Please give the correct answer from the given options:

(a) Out or the following, the physical quantity that relates with first law nf thermodynamics is:

(i) temperature (ii) pressure (iii) energy (iv) do. of moles

(b) Zeroth law of thermodynamics is:

(i) kinetic energy nf mokculcs of a gas is zero

(ii) ideal gas dne* not contain molecules

(iii) if two system? are separate!) in thermal equilibrium with a third system then they themselves arc in thermal equilibrium

(iv) absolute zero temperature can not be attained

(c) A piece of ice is added to a cup containing water, its entropy () increases (ii) decreases (iii) remains unchanged

(d) For the efficiency of a Carnot's cycle to be maximum

(i) temperature of the source should be infinity

(ii) temperature of the sink should be infinity

(iii) temperature of the source should be zero (V x 4)

Q2. State and explain Zeroth law of thermodynamics. On the basis of this law introduce the concept of temperature and derive the equation of male uf ihc fluid. (4)

QJ. A heat engine working between two temperatures conld convert one-

eighth of the heal supplied into work. If the lower temperature is rcduccd by 95nC, the efficiency is doubled. Find the lower temperature. (4)

Q4. Consider 1 g of perfect gas occupying volume \ at pressure P and temperature I. Derive the relations for the change in entropy of the gas in terms of P,V and T.P. (6)

Q5. Calculate the change in entropy on converting a mole nf a gas occupying 20 litres at a pressure of 2x10* N/m^{1} to occupying 50 litres at pressure of 5xlO^{J} N/m*. R=8.4 Jmolk and C,=21 Jmolk. (41

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