P-V Diagrams & Cyclic Processes

For any thermodynamic process, the work done by the system depends

Arrange the correct order of P-V diagrams in thermodynamics for an isothermal process, isobaric process, isochoric process and adiabatic process

Which of the following graphs between pressure and volume of a gas correctly shows isochoric process in thermodynamics?

In a cyclic process, work done by the system is

In case of 'free expansion', which one of the following statements is 'WRONG'?

There is an expansion of a gas in a thermodynamic system. But this change cannot be plotted on a P-V diagram. Then it is

In thermodynamic process for free expansion, select the 'WRONG' statement out of the following options.

One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown. The change in internal energy of the gas during the transition is

10 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from $P_1$ to $P_2$ is $\alpha$ Joule ( $P_1 = 21.7\text{ Pa}$ and

$P_2 = 30\text{ Pa}, C_v = 21\text{ J/K.mol}, R = 8.3\text{ J/mol.K})$. The value of $\alpha$ is ______.

Consider $p\text{-}V$ diagram for an ideal gas as shown. Out of the following diagrams which represents the $T\text{-}p$ diagram?

One mole of a mono-atomic ideal gas is taken through a cycle ABCDA as shown in the P-V diagram, then

An ideal monoatomic gas is taken around the cycle ABCDA as shown in the P.V diagram. The work done during the cycle is

An ideal gas undergoes cyclic process ABCDA as shown in given p-V diagram. What is the magnitude of amount of work done by the gas?

One mole of an ideal monatomic gas undergoes a cyclic process as shown in the figure. The total heat supplied to the gas is:

A thermodynamic system is taken through the cyclic process ABC as shown in the figure. The total work done by the system during the cycle ABC is ______ J.

In the following $p - V$ diagram the equation of state along the curved path is given by $(V-2)^2 = 4ap$ where $a$ is a constant. The total work done in the closed path is

One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in the figure. The process BC is adiabatic. The temperatures at A, B and C are $400$ K, $800$ K and $600$ K, respectively. The correct statement is

In a cyclic process, work done by the system is

In case of free expansion, which one of the following statements is WRONG?

Using the given $P - V$ diagram, the work done by an ideal gas along the path $ABCD$ is:

An ideal gas taken through a process ABCA as shown in figure. If the net heat supplied to gas in the cycle is 5 J, then the work done by the gas in process from C to A is

The work done by a gas as it is taken in a cyclic process (shown in graph) is

The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in SI unit):

An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is ________ $\times 10^{-1}\text{ J}$. (Take $\pi = 3.14$)

A poly-atomic molecule $(C_V = 3R, C_P = 4R$, where $R$ is gas constant) goes from phase space point $A\left(P_A = 10^{5}\text{ Pa},\ V_A = 4 \times 10^{-6}\text{ m}^3\right)$ to point $B\left(P_B = 5 \times 10^{4}\text{ Pa},\ V_B = 6 \times 10^{-6}\text{ m}^3\right)$ to point $C\ (P_C = 10^{4}\text{ Pa}, V_C = 8 \times 10^{-6}\text{ m}^3$ ). A to $B$ is an adiabatic path and $B$ to $C$ is an isothermal path. The net heat absorbed per unit mole by the system is:

Two moles of an ideal monoatomic gas undergo a cyclic process as shown in figure. The temperatures in different states are given as $6\,\mathrm{T}_1 = 3\,\mathrm{T}_2 = 2\,\mathrm{T}_4 = \mathrm{T}_3 = 2400\text{ K}$. The work done by the gas during the complete cycle is ( $\mathrm{R} =$ Universal gas constant)

Which of the following graphs between pressure and volume correctly show isochoric process?

The P-V diagrams for particular gas of different thermodynamic processes are given by

The P-V graph of an ideal gas, cycle is shown. The adiabatic process is described by the region

When a system is taken from state ' $a$ ' to state ' $c$ ' along a path abc, it is found that $Q = 80\text{ cal}$ and $W = 35\text{ cal}$. Along path adc $Q = 65\text{ cal}$ the work done W along path adc is

A thermodynamic system is taken from an original state $A$ to an intermediate state $B$ by a linear process as shown in the figure. Its volume is then reduced to the original value from $B$ to $C$ by an isobaric process. The total work done by the gas from $A$ to $B$ and $B$ to $C$ would be:

Choose the correct statement for processes A & B shown in figure.

The given figure represents two isobaric processes for the same mass of an ideal gas, then

Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $C_A$ and $C_B$. The molar heat capacity at constant pressure and constant volume are represented by $C_P$ and $C_V$, respectively. Choose the correct statement.

A thermodynamic system is taken through the cycle $abcda$. The work done by the gas along the path $bc$ is:

The heat absorbed by a system in going through the given cyclic process is:

Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio $\frac{V_a}{V_d}$ and the ratio $\frac{V_b}{V_c}$ is:

The $\mathrm{p} - \mathrm{V}$ diagram for a fixed mass of an ideal gas undergoing cyclic process is as shown in figure. AB represents isothermal process and CA represents adiabatic process. Which one of the following graphs represents the p-T diagram of this cyclic process?

A real gas within a closed chamber at $27^\circ\text{C}$ undergoes the cyclic process as shown in figure. The gas obeys $PV^3 = RT$ equation for the path $A$ to $B$. The net work done in the complete cycle is (assuming $R = 8\text{ J/mol K}$):

Which of the following graphs between pressure (P) and volume (V) correctly shows isochoric changes?

For the given cycle, the work done during isobaric process is:

A thermodynamic system is taken through cyclic process. The total work done in the process is:

The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be

An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among 1, 2, 3 and 4 is

A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown in the figure. Its volume is then reduced to the original volume from E to F by an isobaric process. The total work done by the gas from D to E to F will be

A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC. The internal energy of the gas at A is 1560 J. The workdone by the gas during the part CA is:

In thermodynamics, heat and work are:

Which one of the following p-V diagram is correct for an isochoric process:

Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If V2 = 2V1 then the ratio of temperature T2/T1 is:

If one mole of an ideal gas at (P1, V1) is allowed to expand reversibly and isothermally (A to B) its pressure is reduced to one-half of the original pressure (see figure). This is followed by a constant volume cooling till its pressure is reduced to one-fourth of the initial value (B $\rightarrow$ C). Then it is restored to its initial state by a reversible adiabatic compression (C to A). The net work done by the gas is equal to:

One mole of an ideal gas at 27$^\circ$C is taken from A to B as shown in the given PV indicator diagram. The work done by the system will be _________ $\times$ 10$-$1 J. [Given: R = 8.3 J/mole K, ln2 = 0.6931] (Round off to the nearest integer)

In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the gas during the process A $\rightarrow$ B and C $\rightarrow$ D are T1 and T2 (T1 > T2) respectively.

Choose the correct option out of the following for work done if processes BC and DA are adiabatic.

The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use $\gamma$ = 1.4):

In the reported figure, heat energy absorbed by a system in going through a cyclic process is ___________ $\pi$J.

n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.

A $\rightarrow$ B: Isothermal expansion at temperature T so that the volume is doubled from V1 to V2 = 2V1 and pressure changes from P1 to P2

B $\rightarrow$ C: Isobaric compression at pressure P2 to initial volume V1.

C $\rightarrow$ A: Isochoric change leading to change of pressure from P2 to P1.

Total work done in the complete cycle ABCA is:

The $P\text{-}V$ diagram for an ideal gas in a piston cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is

Three different processes that can occur in an ideal monoatomic gas are shown in the P vs V diagram. The paths are labelled as A $\rightarrow$ B, A $\rightarrow$ C and A $\rightarrow$ D. The change in internal energies during these process are taken as EAB, EAC and EAD and the work done as WAB, WAC and WAD. The correct relation between these parameters are:

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cycle given in the figure? where, 1 $\rightarrow$ 2 is adiabatic.

(Graphs are schematic and are not to scale)

(A)

(B)

(C)

A thermodynamic cycle xyzx is shown on a V-T diagram.

The P-V diagram that best describes this cycle is:

(Diagrams are schematic and not to scale)

Following figure shows two processes A and B for a gas. If $\Delta$QA and $\Delta$QB are the amount of heat absorbed by the system in two cases, and $\Delta$UA and $\Delta$UB are changes in internal energies, respectively, then:

A gas can be taken from A to B via two different processes ACB and ADB.

When path ACB is used 60 J of heat flows into the system and 30 J of work is done by the system. If path ADB is used work done by the system is 10 J. The heat Flow into the system in path ADB is:

The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the same order is given by :-

A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the internal energy of the gas along the path ca is –180 J. The gas absorbs 250 J of heat along the path ab and 60 J along the path bc. The work done by the gas along the path abc is:

For the given cyclic process CAB as shown for a gas, the work done is:

The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is

One mole of an ideal monoatomic gas is taken along the path ABCA as shown in the PV diagram. The maximum temperature attained by the gas along the path BC is given by:

Thermodynamic processes are indicated in the following diagram.

Match the following

For the P-V diagram given for an ideal gas,

out of the following which one correctly represents the T-P diagram?

(A)

(B)

(C)

$\text{'}n\text{'}$ moles of an ideal gas undergoes a process $A \rightarrow B$ as shown in the figure. The maximum temperature of the gas during the process will be:

One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure.

The change in internal energy of the gas during the transition is

Figure below shows two paths that may be taken by a gas to go from a state A to a state C.

In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be

An ideal gas goes through a reversible cycle a $\rightarrow$ b $\rightarrow$ c $\rightarrow$ d which has the V $-$ T diagram shown below. Process d $\rightarrow$ a and b $\rightarrow$ c are adiabatic.

The corresponding P - V diagram for the process is (all figures are schematic and not drawn to scale):

(A)

(B)

(C)

A thermodynamic system undergoes cyclic process ABCDA as shown in figure. The work done by the system in the cycle is

An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross section 8.0 $\times$ 10 $-$3 m2. Initially the gas is at 300K and occupies a volume of 2.4 $\times$ 10$-$3 m3 and the spring is in its relaxed state as shown in figure. The gas is heated by a small heater until the piston moves out slowly by 0.1 m. The force constant of the spring is 8000 N/m and the atmospheric pressure is 1.0 $\times$ 105 N/m2. The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. The final temperature of the gas will be:

(Neglect the heat loss through the lead wires of the heater. The heat capacity of the heater coil is also negligible)

One mole of a diatomic ideal gas undergoes a cyclic process $ABC$ as shown in figure. The process $BC$ is adiabatic. The temperatures at $A, B$ and $C$ are $400\text{ K},\ 800\text{ K}$ and $600\text{ K}$ respectively. Choose the correct statement:

A system is taken from state a to state c by two paths adc and abc as shown in the figure. The internal energy at a is $U_a = 10\text{ J}$. Along the path adc the amount of heat absorbed dQ1 $=$ 50 J and the work obtained dW1 $=$ 20 J whereas along the path abc the heat absorbed dQ2 = 36 J. The amount of work along the path abc is

Figure shows the variation in temperature ($\Delta T$) with the amount of heat supplied (Q) in an isobaric process corresponding to a monoatomic (M), diatomic (D) and a polyatomic (P) gas. The initial state of all the gases are the same and the scales for the two axes coincide. Ignoring vibrational degrees of freedom, the lines a, b and c respectively correspond to:

A gas is taken through the cycle

A $\rightarrow$ B $\rightarrow$ C $\rightarrow$ A, as shown. What is the net work done by the gas?

A certain amount of gas is taken through a cyclic process (A B C D A) that has two isobars, one isochore and one isothermal. The cycle can be represented on a P - V indicator diagram as:

The above $p\text{-}v$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted from the source in a single cycle is

An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram.

If Q1, Q2, Q3 indicate the heat absorbed by the gas along the three processes and $\Delta$U1, $\Delta$U2, $\Delta$U3 indicate the change in internal energy along the three processes respectively, then

One mole of an ideal gas goes from an initial state A to final state B via two processes: It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct P-V diagram representing the two process is

A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected by the gas during the cycle is

Two moles of helium gas are taken over the cycle $ABCD,$ as shown in the $P\text{-}T$ diagram.

Assuming the gas to be ideal the work done on the gas in taking it from $A$ to $B$ is:

Two moles of helium gas are taken over the cycle $ABCD,$ as shown in the $P\text{-}T$ diagram.

The work done on the gas in taking it from $D$ to $A$ is:

Two moles of helium gas are taken over the cycle $ABCD$, as shown in the $P\text{-}T$ diagram.

The net work done on the gas in the cycle $ABCDA$ is:

If Q, E and W denote respectively the heat added, change in internal energy and the work done in a closed cyclic process, then

When a system is taken from state $i$ to state $f$ along the path iaf, it is found that $Q = 50$ cal and $W = 20\text{ cal}$. Along the path $ibf\ Q = 36\text{ cal}.\ W$ along the path $ibf$ is

A system goes from $A$ to $B$ via two processes $I$ and $II$ as shown in figure. If $\Delta U_1$ and $\Delta U_2$ are the changes in internal energies in the processes $I$ and $II$ respectively, then

Which of the following is incorrect regarding the first law of thermodynamics?

A thermodynamic system is taken from state $A$ to $B$ along $ACB$ and is brought back to $A$ along $BDA$ as shown in the $PV$ diagram. The net work done during the complete cycle is given by the area

A thermodynamic process is shown in the figure. The pressure and volumes corresponding to some points in the figure are $P_A = 3 \times 10^{4}\text{ Pa}$; $V_A = 2 \times 10^{-3}\text{ m}^3$; $P_B = 8 \times 10^{4}\text{ Pa}$; $V_D = 5 \times 10^{-3}\text{ m}^3$. In the process $AB$, 600 J of heat is added to the system and in process $BC$, 200 J of heat is added to the system. The change in internal energy of the system in process $AC$ would be