A system is taken from state A to state B along two different paths 1 and 2. If the heat absorbed and work done by the system along these two paths are $Q_1, Q_2 and W_1, W_2$ respectively, then

(1) $Q_1=Q_2$

(2) $W_1=W_2$

(3) $Q_1-W_1=Q_2-W_2$

(4) $Q_1+W_1=Q_2+W_2$

In given process dW = 0, dQ < 0 then for a gas

1.  Temperature -  increases

2.  Volume - decreases

3.  Pressure - decreases

4.  Pressure - increases

A given mass of gas expands from state A to state B by three paths 1,2 and 3 as shown in the figure. If ${\mathrm{W}}_1, {\mathrm{W}}_2 \mathrm{and} {\mathrm{W}}_8$ respectively be the work done by the gas along the three paths then

1.  ${\mathrm{W}}_1 > {\mathrm{W}}_2 > {\mathrm{W}}_8$

2.  ${\mathrm{W}}_1 < {\mathrm{W}}_2 < {\mathrm{W}}_8$

3.  ${\mathrm{W}}_1 = {\mathrm{W}}_2 = {\mathrm{W}}_8$

4.  ${\mathrm{W}}_1 < {\mathrm{W}}_2 = {\mathrm{W}}_8$

The ratio of the relative rise in pressure for adiabatic compression to that for isothermal compression is

(1) $\gamma$

(2) $\frac{1}{\gamma }$

(3) 1-$\gamma$

(4) $\frac{1}{1-\gamma }$

A sink, that is the system where heat is rejected, is essential for the conversion of heat into work. From which law the above inference follows?

(1) zeroth

(2) First

(3) Second

(4) Third

For the indicator diagram given below to select the wrong statement.

1.  Cycle - II is a heat engine cycle

2.   Net work is done on the gas in cycle - I

3.   Work done is positive for the cycle I

4.  Work done is positive for the cycle - II

The variation of pressure versus temperature of an ideal gas is shown in the given diagram. From this diagram, one can conclude that

1.  Volume increases continuously

2.  Volume decreases continuously

3.  Volume first increases then decreases

4.  Volume first decreases, then increase

The variation of density (p) of gas with its absolute temperature (T) at constant pressure is best represented by the graph

1.        2.  

3.        4.  

An ideal gas with adiabatic exponent y is heated at constant pressure and it absorbs Q heat. What fraction of this heat is used to perform external work?

1.  $\mathrm{\gamma }$

2.  $\frac{1}{\mathrm{\gamma }}$

3.  $1 - \frac{1}{\mathrm{\gamma }}$

4.  $\mathrm{\gamma } - 1$

Temperature is defined by

1.  First Law of thermodynamics

2.  Second Law of thermodynamics

3.  Third Law of  thermodynamics

4.  Zeroth Law of  thermodynamics