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Statistical Therm & Theory Of Gases - GATE Chemistry MCQ


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20 Questions MCQ Test GATE Chemistry Mock Test Series - Statistical Therm & Theory Of Gases

Statistical Therm & Theory Of Gases for GATE Chemistry 2024 is part of GATE Chemistry Mock Test Series preparation. The Statistical Therm & Theory Of Gases questions and answers have been prepared according to the GATE Chemistry exam syllabus.The Statistical Therm & Theory Of Gases MCQs are made for GATE Chemistry 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Statistical Therm & Theory Of Gases below.
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Statistical Therm & Theory Of Gases - Question 1

CO2 has the following vibrational degree of freedom 1388, 667.4(doubly degenerate) and 2349cm-1. The value of total vibrational partition function for this molecule at 1000K is ____(Round off to two decimal places).


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Statistical Therm & Theory Of Gases - Question 2

Imagine gaseous Ar at 298k confined to move in a two dimensional plane of area 1.00 cm2. The value of partition funciton is

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Statistical Therm & Theory Of Gases - Question 3

For which of the following molecule is the high temperature expression for the rotational partition function valid if T = 40K is

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Statistical Therm & Theory Of Gases - Question 4

The value of rotational partition function for the following species at 298 K is

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Since, NOCl is non linear rotor therefore two more rotational constants are required (i.e. A and C)
(Therefore, sufficient information is not provided to solve the question)

Statistical Therm & Theory Of Gases - Question 5

Four identical fermion particles are to be distributed in two energy levels E1 and E2. Energy E1 is 5-fold degenerate and E2 is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements is

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Statistical Therm & Theory Of Gases - Question 6

The correct form of vibrational partition function is

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Statistical Therm & Theory Of Gases - Question 7

The value of temperature at which 10% of the molecule in a system will be in first excited electronic state if this state is 400 kJ/mol above ground state is

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Statistical Therm & Theory Of Gases - Question 8

The ground state of Co2+ ion in CoSO4.7H2O may be regarded as 4T3/2. The entropy of the solid at temperature below 1K is derived almost entirely from electron spin. The molar entropy of the solid at these temperature is ________J/mol-K.(Round off to two decimal places).


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Statistical Therm & Theory Of Gases - Question 9

Consider following energy levels with given number of particles

If system (III) is undergoing cooling, change in molar entropy of the system is _______J/mole-K. (Round off to one decimal place)


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Statistical Therm & Theory Of Gases - Question 10

 

The exact probability distribution of rotational energy levels is the Boltzmann factor of each level Weighted by the degeneracy over the partition function
  
The plot of PRJ(T) vs J rotational quantum number for hetronuclear diatomic molecule at 100K is as follows 

If the characteristic rotaional temperature for the molecule is 2.779K. The percentage deviation between exact rotational partition function and the partition function calculated by high-temperature approximation is ____%. (answer should be an integer).


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Statistical Therm & Theory Of Gases - Question 11

The correct form of Sackur Tetrode Equation is

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Statistical Therm & Theory Of Gases - Question 12

The quantity remain constant in Grand Canonical Ensemble

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 is constant is Grand canonical function.

Statistical Therm & Theory Of Gases - Question 13

Molar entropy of H-atom at 1000 K and 1 bar is

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Statistical Therm & Theory Of Gases - Question 14

Using Boltzmann porbability distribution expression. The value of possible ways of distributing 7 distingusabe particle among 4 energy levels with energies 0, ε, 2ε and 3ε respectively ____(Total energy of the system remain constant at 3ε)(answer should be an integer).


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Statistical Therm & Theory Of Gases - Question 15

Certain mass of a gas occupy 200mL at 1270C. If the gas is cooled to -730C constant pressure, its new volume _____ mL.(an answer should be an integer).


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Statistical Therm & Theory Of Gases - Question 16

In what mass ratio, He and O2 gases should be mixed together to have the same partial pressures is

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Statistical Therm & Theory Of Gases - Question 17

Nickel forms a gaseous compound of the formula Ni(CO)x. The value of x given that under the same conditions of temperature and pressure methane effuses 3.25 times faster than the compound is _____(answer should be an integer). (Given : Ni = 58.7)


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Statistical Therm & Theory Of Gases - Question 18

A vessel contains 80g methane at 270C. The total translational kinetic energy of molecules is _____kJ. (Round off to two decimal places)


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Statistical Therm & Theory Of Gases - Question 19

 

The rate of effusion of an unknown gas, X, at 480K is 1.60 times the rate of effusion of sulphur dioxide gas at 300K. The molecular weight of X is ______ (answer should be an integer).


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Statistical Therm & Theory Of Gases - Question 20

If rotational constant for H2O(g) at 15000K are A = 27.8778cm-1, B = 14.5042cm-1 and C = 9.286cm-1. The value of change in rotational free energy. (Round off to two decimal places). 
[Given: Gm - Gm(0) is _____kJmol-1.


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