Thermodynamics

A qualitative phase diagram of a substance is shown in the figure below. Choose the correct option from the following statements.

Thermodynamic processes $\left(\mathrm{P}_1, \mathrm{P}_2, \mathrm{P}_3, \mathrm{P}_4\right)$ in which an ideal gas passes through states 1,2 and 3 are shown in the figure where $P, V, T$ are pressure, volume and…

A horizontal cylinder, closed at one end, is rotated with a constant angular velocity $\omega$ about a vertical axis passing through the open end of the cylinder as shown in the figure. The outside air pressure is…

The inhalation and exhalation processes of breathing are modelled using a relationship between the gauge pressure $(P)$ and volume $(V)$ of lungs as $V=A[1-\exp (-k P)]$ where $A$ and $k$ are the positive constants (see…

The population $N(t)$ of ill patients during an epidemic in a country is given by the following equation $N(t)=\frac{N_0 \exp (t / \tau)}{1+N_0(\exp (t / \tau)-1) / N_s}$ where $N_0$ is the initial population of ill…

A heat engine uses one mole of ideal gas as its working substance which performs the following cyclic process, as shown in the figure below. Given $P_C=2 P_A, V_C=2 V_A$, select the correct statement(s).

The pressure $(P)$ versus temperature $(T)$ plot of a cyclic process for an ideal gas is shown in the figure. The corresponding density $(\rho)$ versus temperature $(T)$ plot will be

Two experiments P and Q are performed with water in various states of phases. Both experiments are performed at constant pressures. Heat is supplied to the systems at the same constant rate in both the experiments. The…

The three processes in a thermodynamic cycle shown in the figure are: Process $1 \rightarrow 2$ is isothermal; Process $2 \rightarrow 3$ is isochoric (volume remains constant); Process $3 \rightarrow 1$ is adiabatic.…

One mole of a monatomic ideal gas undergoes a transformation from an initial state with temperature $290$ K and volume $30$ litres to a final state with temperature $310$ K and volume $16$ litres. On the pressure-volume…

An ideal monoatomic gas, initially at pressure $P$, is kept in a spherical container of volume $V$. The container is adiabatically compressed to half of its initial radius. Assuming the process is reversible and…

Two identical samples of an ideal gas in identical conditions are separately heated by wires carrying equal currents for the same amount of time. In the first sample, the volume is kept constant while pressure becomes 8…