The heat energy absorbed by a system is going through a cyclic process shown in the figure is:

(1) 10⁷ $\pi$ J

(2) 10⁴ $\pi$ J

(3) 10² $\pi$ J

(4) 10^–3$\pi$ J

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

(1) P₁ACBP₂P₁

(2) ACBB'A'A

(3) ACBDA

(4) ADBB'A'A

In the diagrams (i) to (iv) , variation of volume with changing pressure is shown. A gas is taken along the path ABCDA. The change in internal energy of the gas will be

(1) Positive in all cases (i) to (iv)

(2) Positive in cases (i), (ii) and (iii) but zero in (iv) case

(3) Negative in cases (i), (ii) and (iii) but zero in (iv) case

(4) Zero in all four cases

The P-V graph of an ideal gas cycle is shown here as below. The adiabatic process is described by

(1) AB and BC

(2) AB and CD

(3) BC and DA

(4) BC and CD

An ideal monoatomic gas is taken round the cycle  as shown in following P-V diagram. The work done during the cycle is -

(1) PV

(2) 2 PV

(3) 4 PV

(4) Zero

A system changes from the state (P₁, V₁) to (P₂, V₂) as shown in the figure. What is the work done by the system ?

(1) 7.5 × 10⁵ joule

(2) 7.5 × 10⁵ erg

(3) 12 × 10⁵ joule

(4) 6 × 10⁵ joule

Carbon monoxide is carried around a closed cycle \(abc\) in which \(bc\) is an isothermal process as shown in the figure. The gas absorbs \(7000 ~\text J\) of heat as its temperature increases from \(300 ~\text K\) to \(1000 ~\text K\) in going from \(a\) to \(b.\) The quantity of heat rejected by the gas during the process \(ca\) is:

                   
1. \(4200~\text J\)
2. \(5000~\text J\)
3. \(9000~\text J\)
4. \(9800~\text J\)

A sample of ideal monoatomic gas is taken round the cycle CBAC as shown in the figure. The work done during the cycle is 

(1) Zero

(2) 3 PV

(3) 6 PV

(4) 9PV

When a system is taken from state i to a state f along path iaf, Q = 50 J and W = 20 J.

 If W = –13 J for the curved return path fi, Q for this path is -

1. 33 J

2. 23 J

3. – 7 J

4. – 43 J

Which one of the following is correct for one complete cycle of a thermodynamic process on a gas as shown in the \((P-V)\) diagram?