Thermodynamics practice · Mixed difficulty

A thermodynamical system is changed from state$\left( {{p_1}{V_1}} \right)\mathrm{to}\left( {{p_2},{V_2}} \right)$ by two different processes, the quantity which will remain same will be

Identify the characteristics of an adiabatic process in a monoatomic gas.

(A) Internal energy is constant.

(B) Work done in the process is equal to the charge in internal energy.

(C) The product of temperature and volume is a constant.

(D) The product of pressure and volume is a constant.

(E) The work done to change the temperature from $\mathrm{T}_1$ to $\mathrm{T}_2$ is proportional to $\left(\mathrm{T}_2-\mathrm{T}_1\right)$

Choose the correct answer from the options given below:

A monoatomic ideal gas expanded adiabatically to $\eta$ times of its initial volume. If the ratio of final rate of collisions of molecules with unit area of container's walls to the initial rate is $\frac{1}{\eta^x}$. Find the value of $x$.

In an isobaric process, the absolute temperature is doubled. The mean free path $\left( \lambda \right)$ and the relaxation time $\left( \tau \right)$ will become respectively

A lead ball moving with a velocity V strikes a wall and stops. If 50% of its energy is converted into heat, then what will be the increase in temperature (Specific heat of lead is S )

In a thermodynamic process, pressure of fixed mass of a gas is changed in such a manner that the gas releases 20 J of heat and 8 J of work is done on the gas. If initial internal energy of the gas was 40 J, what will be final internal energy ?

The specific heat of a metal at low temperature varies according to $S=3 t^2+4 t$ where $t$ is absolute temperature. The heat energy needed to raise the temperature of unit mass of metal from $1 \mathrm{~K}$ to $2 \mathrm{~K}$ is

(A): In isobaric process, during an expansion of a gas both volume and temperature of the gas increase.
(R): Heat added to a gas partly gets converted into internal energy and remaining to do external work.

Which of the following is not thermodynamic coordinate?

Choose the correct statement

If earth suddenly stops rotating about its own axis, the increase in it’s temperature will be

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as ${V^q},$ where V is the volume of the gas. The value of q is $\left( {\gamma = \frac{{{C_P}}}{{{C_V}}}} \right)$

In the above question, if $\mathrm{\gamma } = 1.5$,the gas may

Calculate change in internal energy of a system which has absorbed 2 kcal of heat and done 500 J of work

For a gas ${C_p} - {C_v} = R$ in a state $P$ and ${C_p} - {C_v} = 1.10\,R$ in a state $Q\,.\,\,{T_p}$ and $\,{T_Q}$ are the temperatures in two
different states $P$ and $Q$ respectively. Then,

Water is used to cool the radiators of engines in cars because

Statement-1: When an ideal gas is taken from a given thermodynamic state $A$ to another given thermodynamic state $B$ by any polytrophic process, the change in the interval energy of the system will be the same in all processes.
Statement-2: Internal energy of the gas depends only upon its absolute temperature.

When a body A is in thermal equilibrium with a body B, and also separately with a body C, then B and C will be in thermal equilibrium with each other.

Assertion(A): If volume of a gas is increasing but temperature of the gas is decreasing, then heat given to the gas may be positive, negative or zero.

Reason(R): Heat given to a gas is a state function. It is not path function.

When water is converted into ice, its entropy

An iron ball of mass $0.2 \mathrm{~kg}$ is heated to $100^{\circ} \mathrm{C}$ and put into a block at ice at $0^{\circ} \mathrm{C} \,25 \mathrm{~g}$ of ice melts. If the latent heat of fusion of ice is $80 \mathrm{~cal} \mathrm{~g}^{-1}$, then the specific heat of iron in $\mathrm{cal} \mathrm{~g}^{-1} \,{}^\circ\mathrm{C}$ is

An ideal gas in a piston cylinder arrangement is to be taken from a temperature of $500 {~K}$ to a temperature of $600 {~K}$. Which of the thermodynamic process given in options should be used so that the final state of $600 {~K}$ is achieved using a minimum energy input from outside?

A mono atomic gas is supplied the heat$Q$ very slowly keeping the pressure constant. The work done by the gas will be

In an adiabatic process where pressure is increased by $\frac{2}{3}\% \mathrm{if}\frac{{{C_p}}}{{{C_v}}} = \frac{3}{2},$ then the volume decreases by about

A girl weighing 42 kg eats bananas whose energy is 980 calories. If this energy is used to go to height $h$, the value of $h$ is

The increase in internal energy of a system is equal to the work done on the system. Which process does the system undergo?

Consider the efficiency of carnot's engine is given by $\eta=\frac{\alpha \beta}{\sin \theta} \log e \frac{\beta x}{k T}$, where $\alpha$ and $\beta$ are constants. If $T$ is temperature, $k$ is Boltzmann constant, $\theta$ is angular displacement and $x$ has the dimensions of length. Then, choose the incorrect option

In a cyclic process, work done by the system is

A litre of dry air STP expands adiabatically to a volume of 3 L. If $\mathrm{\gamma } = 1.40,$ the work done by air is $\mathrm{(}{\mathrm{3}^{\mathrm{1}\mathrm{.4}}}\mathrm{ = 4}\mathrm{.6555)}$ [Take, air to be an ideal gas]

At constant volume the specific heat of a gas is $\frac{{3R}}{2},$ then the value of '$\gamma$' will be