Thermodynamics practice · Mixed difficulty

One mole of an ideal monatomic gas is taken from state $\mathrm{A}$ to state B through the process $P=(3 / 2) T^{1 / 2}$. It is found that its temperature increases by $100 \mathrm{~K}$ in this process. Now it is taken from state B to C through a process for which internal energy is related to volume as $U_{\text {int }}=(1 / 2) V^{1 / 2}$. Find the total work performed by the gas (in joule), if it is given that volume at $\mathrm{B}$ is $100 \mathrm{~m}^3$ and at C it is $1600 \mathrm{~m}^3$. (Use $R=8.3 \mathrm{~J} / \mathrm{mol} \mathrm{K}$.)

The thermodynamic process in which no work is done on or by the gas is

If amount of heat given to a system be 50 J and work done on the system be 15 J, then change in internal energy of the system is

Heat added to a system is equal to

A man of 60 Kg gains 1000 Cal of heat by eating 5 mangoes. His efficiency is 56%. The height to which he can Jump by using this energy is

The theory of refrigerator is based on

A monoatomic gas $(\gamma = 5/3)$ is suddenly compressed to 1/8 of its original volume adiabatically, then the pressure of the gas, will change to

A monoatomic gas at pressure $P$ and volume $V$ is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :

If ${C_P}$ and ${C_V}$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then ${C_P} - {C_V} =$

In which thermodynamic process, volume remains same?

First law of thermodynamics states that

Assertion: The internal energy of a real gas is function of both, temperature and volume.
Reason: At constant pressure, some heat is spent in expansion of the gas.

The temperature of food material in a refrigerator is $4^{\circ} \mathrm{C}$ and temperature of environment is $15^{\circ} \mathrm{C}$. If carnot cycle is used in its working gas, then find its carnot efficiency.

In thermodynamics, heat and work are:

Compressed air in the tube of a wheel of a cycle at normal temperature suddenly starts coming out from a puncture. The air inside

One mole of an ideal gas with $\gamma = 1.4,$ is adiabatically compressed so that its temperature rises from $27^\circ C$ to $35^\circ C,$. The change in the internal energy of the gas is $\left( {R = 8.3J/mol.\,k} \right)$

During an adiabatic expansion of 2 moles of a gas, the change in internal energy was found $- 50J$.The work done during the process is

An engineer claims to have made an engine delivering $10kW$ power with fuel consumption of $1g/s$. The calorific value of the fuel is $2kcal/g$. Is the claim of the engineer

Statement-1: When you touch two bodies, the body which is felt warmer must be of higher temperature than the other one.
Statement-2: The heat flows from higher temperature to lower temperature.

A bullet of mass $m \mathrm{~kg}$ is moving with velocity $K^2 \, \mathrm{m} / \mathrm{s}$ collides against a vertical wall, consequently half of its kinetic energy is converted into heat. If whole heat is acquired by the bullet, the rise in temperature $\text{(in }{ }^{\circ} \mathrm{C})$ of bullet is $\text{(specific heat for bullet }=s \mathrm{~J} / \mathrm{kg}^{\circ} \mathrm{C})$

In an isothermal change, an ideal gas obeys

For a gas, the difference between the two principle specific heats is 4150 $\mathrm{Jk}{\mathrm{g}^{ - 1}}{\mathrm{K}^{ - 1}}$.What is the specific heat of the gas at constant volume if the ratio of specific heat is 1.4?

Which of the following is not a thermodynamical function

Which of the following is not a state function?

An ideal monoatomic gas $\mathrm{A}$ is supplied heat so as to expand without changing its temperature. In another process, starting with same state, it is supplied heat at constant pressure. In both cases a graph of work done by gas is plotted versus heat added (Q) to the gas. The ratio of slope of graphs obtained in first & second process in $\eta_1$. The same ratio obtained for ideal diatomic gas is $\eta_2$. If the ratio $\frac{\eta_1}{\eta_2}=\frac{a}{b}$. Then find $a+b$.

Assertion: The zeroth law said that, when two systems $X$ and $Y$ are in thermal equilibrium, there must be a physical quantity that has the same value for both.
Reason: The physical quantity, which is same for both the systems, is temperature.

The specific heat relation for ideal gas is

For an isothermal expansion of a perfect gas, the value of $\frac{{\Delta P}}{P}$ is equal

Assertion: The ratio $\frac{C_P}{C_V}$ is more for helium gas than for hydrogen gas.
Reason: Atomic mass of helium is more than that of hydrogen.

Heat energy of 1500 J is supplied to a gas the external work done by the gas is 525 J. The increase in internal energy is