An ideal gas is taken through the cycle \(A\rightarrow B\rightarrow C\rightarrow A\) as shown in the figure below. If the net heat supplied to the gas is \(10~\text{J}\), then the work done by the gas in the process \(B\rightarrow C\) is:

                 

1.	\(-10~\text{J}\)	2.	\(-30~\text{J}\)
3.	\(-15~\text{J}\)	4.	\(-20~\text{J}\)

An ideal gas undergoes a cyclic process ABCA as shown. The heat exchange between the system and the surrounding during the process will be:

An ideal gas is taken through the process as shown in the figure. Then:

An ideal gas is taken reversibly around the cycle \(a\text-b\text-c\text-d\text-a\) as shown on the temperature \((T)\) - entropy \((S)\) diagram.
                  
The most appropriate representation of the above cycle on an internal energy \((U)\) - volume \((V)\) diagram is:

1.		2.
3.		4.

Which of the following statements in the case of a thermodynamic process is not correct?
(the symbols carry their usual meaning)

1 kg of gas does 20 kJ of work and receives 16 kJ of heat when it is expanded between two states. The second kind of expansion can be found between the same initial and final states, which requires a heat input of 9 kJ. The work done by the gas in the second expansion will be:

The figure below shows two paths that may be taken by a gas to go from state A to state C. In process AB, \(400~\text{J}\) of heat is added to the system and in process BC, \(100~\text{J}\) of heat is added to the system. The heat absorbed by the system in the process AC will be:

If ΔQ and ΔW represent the heat supplied to the system and  the work done on the system, respectively, then the first law of thermodynamics can be written as: (where ΔU is the internal energy)
1. ΔQ = ΔU + ΔW
2. ΔQ = ΔU – ΔW
3. ΔQ = ΔW – ΔU
4. ΔQ = –ΔU – ΔW

Can two isothermal curves cut each other?