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  respectively, then

(1) ${Q}_{1}={Q}_{2}$

(2) ${W}_{1}={W}_{2}$

(3) ${Q}_{1}-{W}_{1}={Q}_{2}-{W}_{2}$

(4) ${Q}_{1}+{W}_{1}={Q}_{2}+{W}_{2}$

Subtopic:  First Law of Thermodynamics |
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In a given process, dW = 0, dQ < 0, then for the gas:
1. Temperature increases
2. Volume decreases
3. Pressure decreases
4. Pressure increases

Subtopic:  First Law of Thermodynamics |
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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 respectively be the work done by the gas along the three paths, then:

1.

2.

3.

4.

Subtopic:  Work Done by a Gas |
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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) $\frac{1}{1-\gamma }$

Subtopic:  Types of Processes |
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A sink, that is, the system where heat is rejected, is essential for the conversion of heat into work. From which law does the above inference follow?
1. Zeroth
2. First
3. Second
4. Third

Subtopic:  Second Law of Thermodynamics |
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For the indicator diagram given below, which of the following is not correct?

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 cycle I.

4. Work done is positive for cycle II.

Subtopic:  Cyclic Process |
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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.

4.

Subtopic:  First Law of Thermodynamics |
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Temperature is defined by

1.  First Law of thermodynamics

2.  Second Law of thermodynamics

3.  Third Law of  thermodynamics

4.  Zeroth Law of  thermodynamics

Subtopic:  Basic Terms |
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If 32 gm of ${O}_{2}$ at $27°\mathrm{C}$ is mixed with 64 gm of ${\mathrm{O}}_{2}$ at $327°\mathrm{C}$ in an adiabatic vessel, then the final temperature of the mixture will be:

1.  $200°\mathrm{C}$

2.  $227°\mathrm{C}$

3.  $314.5°\mathrm{C}$

4.  $235.5°\mathrm{C}$

Subtopic:  Molar Specific Heat |
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If ${W}_{1}$ is the work done in compressing an ideal gas from a given initial state through a certain volume isothermally and ${W}_{2}$ is the work done in compressing the same gas from the same initial state through the same volume adiabatically, then:

(1) ${W}_{1}={W}_{2}$

(2) ${W}_{1}<{W}_{2}$

(3) ${W}_{1}>{W}_{2}$

(4) ${W}_{1}=2{W}_{2}$

Subtopic:  Work Done by a Gas |
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