Equipartition Theorem

Q.

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is

1. 

2. 

3. 

4. 

Q. 18. Standard free gibbs energies of formation at 298K are -237.2, 394.4 and 8.2 for H2O, CO2 and pentane respectively. The value of E^° for the pentan-oxygen fuel cell is 1) 0.0968V 2)1.968V 3) 2.0968V 4) 1.0968V

Q. two coaxial cylinders of radius r and 3r are made of materials of thermal conductivities K1 and K2 .the equivalent thermal conductivity of subs†an ce for axial heat flowy b

Q. Energy required to dissociate 4g of gaseous H2 into free gaseous atoms is 872 kJ at 25^{†extdegree⊂}. Thebond energy of H-H bond will be

Q. In which of the following bulk modulus of elasticity is more1) solid 2) liquid 3) gas

Q. convert 1 joule to ergs in dimensional analysis

Q.

The temperature of an ideal gas is increased from $120K$ to $480K$. If at $120K$, the root mean square speed of the gas molecules is v then at $480K$ it will be

1. v/2

2. v/4

3. 4v

4. 2v

Q. Delta u=ncv delta t Why this formula is only valid for ideal gases

Q. The value of gamma=Cp/Cv is 4/3 for an adiabatic process of an ideal gas for which the internal energy is given by dU=n(VdP+PdV), the value of n is 1.2/3 2.3 3.4 4.3/4

Q. Average kinetic energy of diatomic and triatomic gas respectively

Q.

A gas mixture consists of 2 moles of oxygen and 4 moles argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

1. 4 RT

2. 15 RT

3. 9 RT

4. 11 RT

Q. The value of gamma=Cp/Cv is 4/3 for an adiabatic process of an ideal gas for which the internal energy is given by dU=n(VdP+PdV), the value of n is 1.2/3 2.3 3.4 4.3/4

Q. 74.In closed organ pipe at temperature 10 degree Celsius the number of beats are 5. If temperature is made to 20 degree Celsius then number of beats will be-

Q. 127.For a particle executing a shm the Kinenetic energy is K=KoCos2wt (cos square omega t).The maximum potential energy is( in terms of Ko) a.

Q. 108.A liquid cools down from 70^°C to 60^°C in 5 minutes. The time taken to cool ito from 60^° to 50^°C will be

Q. dimensions of specific heat is

Q. If there is a positive error of 50 ?/? in the measurement of velocity of a body, then error in measurement of kinetic energy is?

Q. What is the average thermal energy of a diatomic gas? And what is thermal energy?

Q. 103. In the relation P=alpha/beta epilson is to power alpha/x/nRtheta , R is a gas constant and theta is temperature . The dimensional formula of beta is ?

Q. 43. what is gibbs energy and its derivations? Explain

Q. A sample of $0.1g$ of water at $100°C$ and normal pressure ($1.013\times {10}^{5}N{m}^{–2}$) requires $54cal$ of heat energy to convert to steam at $100°C$. If the volume of the steam produced is $167.1c\mathrm{c,}$ the change in internal energy of the sample is

1. $104.3J$
2. $208.7J$
3. $42.2J$
4. $84.5J$

Q. A particle accelerating uniformly has a velocity v at a time T1 calculate work done in time t

Q. The change in internal energy of two moles of a monoatomic gas, when the temperature increases by ${50}^{\circ }\text{C}$ is
[Take $R=2{\text{cal mol}}^{-1}{}^{\circ }{\text{C}}^{-1}$]

1. $300\text{J}$
2. $1251\text{J}$
3. $300\text{cal}$
4. $1251\text{cal}$

Q.

A vessel contains a mixture of 1 mole of oxygen and two moles of nitrogen at $300K$. The ratio of the rotational kinetic energy per $O_2$ molecule to that per $N_2$ molecule is

1. 1 : 1

2. 1 : 2

3. 2 : 1

4. Depends on the moment of inertia of the two molecules.

Q. The change in internal energy of two moles of a monoatomic gas, when the temperature increases by ${50}^{\circ }\text{C}$ is
[Take $R=2{\text{cal mol}}^{-1}{}^{\circ }{\text{C}}^{-1}$]

1. $300\text{J}$
2. $1251\text{J}$
3. $300\text{cal}$
4. $1251\text{cal}$

Q. Find the change in internal energy of $3\text{mol}$ of helium gas when its temperature is increased by $2\text{K}$.

1. $7.48\text{J}$
2. $12\text{J}$
3. $74.8\text{J}$
4. $74.8\text{cal}$

Q. find the value of internal energy and the ratio of specific heats of monoatomic gas molecule.

Q. How velocity of a particle in vertical circle is independent of mass?

Q. calculate the kinetic energy of a gram molecule of oxygen at 127 C kb=1, 381 *10^-23 n=6.022*10^23 ​

Q. One mole of an ideal monatomic gas requires 210 J heat to raise the temperature by 10 K, when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by 10 K then heat required is

1. 238 J
2. 126 J
3. 210 J
4. 350 J