Thermodynamics practice · Mixed difficulty

The internal energy of a gas is given by $U=1.5 \mathrm{pV}$. It expands from $100 \mathrm{~cm}^3$ to $200 \mathrm{~cm}^3$ against a constant pressure of $1.0 \times 10^5 \mathrm{~Pa}$. Calculate the heat absorbed by the gas in the process.

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

When water is converted into ice, its entropy

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.

(A): When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
(R): Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.

The $p-T$ relation for an adiabatic expansion is

The efficiency of heat engine if the temperature of source is ${227^0}C$ and that of sink is ${27^0}C$ nearly

Work done by a system under isothermal change from a volume $V_1$ to $V_2$ for a gas which obeys Vander Waal's equation

$(V-\beta n)\left(P+\frac{\alpha n^2}{V}\right)=n R T$

During an isothermal expansion of an ideal gas

Assertion: COP of a refrigerator can’t be greater than unity.
Reason: some work is done by working substance.

Air expands from 5 lit to 10 lit at 2 atm pressure. External work done is

Assertion(A): During melting of ice, work done by surrounding on (ice + water) system is positive.

Reason(R): Volume of the given system decreases on melting of ice.

1 $gm$ liquid is converted into vapour under $3 \times 10^5 {~Pa}$. $10 \%$ of heat is used to expand volume by $1600 {~cm}^3$. What is the increase in internal energy:-

Which of the following has maximum specific heat

A gas follows a process $T V^{n-1}=$ constant, where $T=$ absolute temperature of the gas and $V=$ volume of the gas. The bulk modulus of the gas in the process is given by

$n$ moles of an ideal gas undergo a process in which the temperature changes with volume as $T=K V^2$. The work done by the gas as the temperature changes from $T_0$ to $4 T_0$ is

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

Statement-I: Reversible systems are difficult to find in real world
Statement-II: Most processes are dissipative in nature

Which of the following statements is true about the indicator diagram of adiabatic and isothermal processes?

The Davison – Germer experiment is direct evidence of

Statement-I: First law of thermodynamics specifies the conditions under which a body can use its heat energy to produce the work.
Statement-II: Second law of thermodynamics states that heat always flows from hot body to cold body by itself

If $\mathrm{\gamma }$ is the ratio of specific heats and $R$ is the universal gas constant, then the molar specific heat at constant volume ${C_v}$ is given by

A thermally insulated container is divided into two parts by a screen. In one part the pressure and temperature are $P$ and $T$ for an ideal gas filled. In the second part it is vacuum. If now a small hole is created in the screen, then the temperature of the gas will

An ideal heat engine is working between source at $727^\circ C$ and sink at $227^\circ C$. If heat absorbed by it from source is 1000 cal then heat rejected to the sink is