Thermodynamics

Ten moles of an ideal monoatomic gas, initially in state $\boldsymbol{a}$ at atmospheric pressure and temperature $T_a = 27^\circ$C, is enclosed in a metal cylinder of volume $V_0$ fitted with a frictionless piston. The…

A quasi-static cycle of a monoatomic ideal gas contains an isothermal process $(\boldsymbol{ab})$, followed by an isochoric process $(\boldsymbol{bc})$ and an adiabatic process $(\boldsymbol{ca})$ as shown in the…

The efficiency of a Carnot engine operating with a hot reservoir kept at a temperature of 1000 K is 0.4. It extracts 150 J of heat per cycle from the hot reservoir. The work extracted from this engine is being fully…

One mole of a monatomic ideal gas undergoes the cyclic process $\mathrm{J} \rightarrow \mathrm{K} \rightarrow \mathrm{L} \rightarrow \mathrm{M} \rightarrow \mathrm{J}$, as shown in the P-T diagram. Match the quantities…

One mole of an ideal gas expands adiabatically from an initial state $(T_{A},V_{0})$ to final state $(T_{f},5V_{0})$. Another mole of the same gas expands isothermally from a different initial state $(T_{B},V_{0})$ to…

In the given $P-V$ diagram, a monoatomic gas $(\gamma=\frac{5}{3})$ is first compressed adiabatically from state $A$ state $B$. Then it expands isothermally from state $B$ to state $C$. [Given :…

A bubble has surface tension $S$. The ideal gas inside the bubble has ratio of specific heats $\gamma=\frac{5}{3}$. The bubble is exposed to the atmosphere and it always retains its spherical shape. When the atmospheric…

An ideal gas of density $\rho=0.2kgm^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=0.8kgs^{-1}$ from its lower end, and escapes through the upper end as shown in the figure. The cross-sectional area of the…

Paragraph A thermally insulating cylinder has a thermally insulating and frictionless movable partition in the middle, as shown in the figure below. On each side of the partition, there is one mole of an ideal gas, with…

Paragraph A thermally insulating cylinder has a thermally insulating and frictionless movable partition in the middle, as shown in the figure below. On each side of the partition, there is one mole of an ideal gas, with…

An ideal gas undergoes a four step cycle as shown in the $P-V$ diagram below. During this cycle, heat is absorbed by the gas in:

Answer the following by appropriately matching the lists based on the information given in the paragraph. In a thermodynamics process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by…