The diagram shows the pressure $p$ and volume $V$ relationship for one cycle of operation of an engine.

Which of the labelled parts of the cycle identify isobaric changes and adiabatic changes of state?

The total number of intensive properties from the following is _____.
Volume, Molar heat capacity, molarity, ${\mathrm{E}}_{\mathrm{cell}}^{\mathrm{o}}$,Gibbs free energy change, Molar mass, Mole

Among the following the number of state variable is

Internal energy $\left(\mathrm{U}\right)$

Volume $\left(\mathrm{V}\right)$

Heat $\left(\mathrm{q}\right)$

Enthalpy $\left(\mathrm{H}\right)$

Observe the following properties:

Volume, enthalpy, density, temperature, heat capacity, pressure, internal energy.

The number of extensive properties in the above list is

One mole of an ideal monoatomic gas undergoes two reversible processes $(\mathrm{A}\to \mathrm{B}$ and $\mathrm{B}\to \mathrm{C})$ as shown in the given figure:

$\mathrm{A}\to \mathrm{B}$ is an adiabatic process. If the total heat absorbed in the entire process $(\mathrm{A}\to \mathrm{B}$ and $\mathrm{B}\to \mathrm{C})$ is ${\mathrm{RT}}_2\ln 10$, the value of $2{\mathrm{logV}}_3$ is
[Use molar heat capacity of the gas at constant pressure, ${\mathrm{C}}_{\mathrm{p},\mathrm{m}}=\frac{5}{2}\mathrm{R}$]

($\mathrm{p}$: pressure, $\mathrm{V}$: volume, $\mathrm{T}$: temperature, $\mathrm{H}$: enthalpy, $\mathrm{S}$: entropy)