Thermodynamics practice · Mixed difficulty

Statement-I: Monoatomic, diatomic and polyatomic gases are adiabatically compressed such that compression ratio is $\left(\frac{P_2}{P_1}\right)$. Then monoatomic gas will have maximum final volume out of these three gases.
Statement-II: Monoatomic gas has least degree of freedom.

252 micro coulombs of charge is transferred between two points having a potential difference of 109 volt during an electric discharge. What mass of ice $\left( {at\,\mathrm{ }{0^0}C} \right)$ would it melt if all the energy released could be used for the above purpose? (take mechanical equivalent of heat as 4.2 joule/calorie and latent heat of fusion of ice is 80 cal/gm)

(A): Air in a cylinder is suddenly compressed by a piston. If the volume after compression is half the original volume the final pressure is twice the initial pressure.
(R): Suddenly compressed process is isobaric process.

An engine operating between the boiling and freezing points of water will have
A. Efficiency more than $27 \%$
B. Efficiency less than the efficiency of a Carnot engine operating between the same two temperatures.
C. Efficiency equal to $27\%.$
D. Efficiency less than $27\%.$
Choose the correct answer from the options given below

First law of thermodynamics is given by

Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position. With the passage of

Which of the following can not determine the state of a thermodynamic system

Air is expanded form 50 litre to 150 litre at 2 atmospheric pressure (1 atm pressure = $\mathbf{1}{\mathbf{0}^\mathbf{5}}\mathbf{kg}\mathrm{ }{\mathbf{m}^{ - \mathbf{2}}}$). The external work done is

Which of the following law of thermodynamics forms the basis for the definition of temperature?

A diatomic gas $\left( {\gamma \mathrm{ } = \mathrm{ }1.4} \right)$ does 60 J of work when it is expanded isobarically. The heat given to gas in the process is

In supplying 400 calories of heat to a system, the work done will be

Calculate the work done when one mole of a perfect gas is compressed adiabatically. The initial pressure and volume of the gas are $10^5 \mathrm{~N} / \mathrm{m}^2$ and 6 litre respectively. The final volume of the gas is 2 litre. Molar specific heat of the gas at constant volume is $\frac{3 R}{2}$.

How much heat (in joules) is required to raise the temperature of $1 \mathrm{~g}$ of water from $14.5^{\circ} \mathrm{C}$ to $15.5^{\circ} \mathrm{C}$ at 1 atmospheric pressure?

A lead bullet of 10 g travelling at $300\,m/s$ strikes against a block of wood and comes to rest. Assuming $50\%$ of heat is absorbed by the bullet, the increase in its temperature is (specific heat of lead $= 150J/kg,K)$

Latent heat of 1gm of steam is 536 cal/gm, then its value in joule/kg is

Statement-1: The quantity of heat in a solid body determines its temperature.
Statement-2: Whenever heat is supplied to a solid body which is not undergoing phase change the temperature of the solid body increases.

Assertion: ${P}$ versus $\frac{1}{{V}}$ graph is straight line for adiabatic process
Reason: $PV =$ constant for adiabatic process.

An ideal gas has a molar heat capacity $\mathrm{C}=\frac{9 \mathrm{R}}{2}$ in the process $\mathrm{PT}=$ constant. Find the degree of freedom of the gas molecule. $(\mathrm{R}=$ ideal gas constant)

A Carnot engine working between the temperature 500 K and 1000 K does a work of 1000 J. The heat energy supplied by the source to the engine per cycle is

A gas has $n$ degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be

The work done in an isothermal expansion of a gas depends upon

$N$ moles of non-linear polyatomic gas (degree of freedom 6) is mixed with 2 moles of monoatomic gas. The resultant mixture has molar specific heat equal to that of a diatomic gas, then $N$ is

Which of the following the scalar quantity is

In an isothermal change of an ideal gas, $\Delta U = 0$. The change in heat energy $\Delta Q$ is equal to

Assertion: first law of thermodynamics allows many processes which actually don't happen.
Reason: First law of thermodynamics must not be violated for any process to happen.

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: Efficiency of a reversible heat engine will be highest at $- 273^\circ C$ temperature of cold reservoir.

Reason R: The efficiency of Carnot’s engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as $\eta = \left( {1 - \frac{{{T_2}}}{{{T_1}}}} \right)$.
In the light of the above statements, choose the correct answer from the options given below

Statement-1: A quasi-static process is so called because it is a sudden and large change of the system.
Statement-2: An adiabatic process is no quasi-static because it is a sudden and large change of the system.

Work done in rising temperature of five mole of Helium adiabatically through $\theta^{\circ} {C}$ is ${W}$. Then the work done in an isobaric process of the sample for same change of temperature is

Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is:

A diatomic gas $(\gamma=1.4)$ does $100 \mathrm{~J}$ of work in an isobaric expansion. The heat given to the gas is: