# The pressure $$P$$ and volume $$V$$ of an ideal gas both increase in a process. (a) such a process is not possible. (b) the work done by the system is positive. (c) the temperature of the system must increase. (d) heat supplied to the gas is equal to the change in internal energy.   Choose the correct option: 1. (a), (b)  2. (b), (c)  3. (c), (d)  4. (a), (d)

Subtopic:  Work Done by a Gas |
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In a process on a system, the initial pressure and volume are equal to the final pressure and volume.

(a) The initial temperature must be equal to the final temperature.

(b) The initial internal energy must be equal to the final internal energy.

(c) The net heat given to the system in the process must be zero.

(d) The net work done by the system in the process must be zero

Choose the correct option

1.  (a) , (b)

2. (b) , (c)

3. (c) , (d)

4. (a) , (d)

Subtopic:  Types of Processes |
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A system can be taken from the initial state p1, V1 to the final state p2 , V2 by two different methods. Let ΔQ and ΔW represent the heat given to the system and the work done by the system. Which of the following must be the same in both the methods ?

1.  ΔQ

2.  ΔW

3.  ΔQ + ΔW

4.  ΔQ – ΔW

Choose the correct option

1.  (a) , (b)

2. (b) , (c)

3.  (d) only

4. (a) , (d)

Subtopic:  First Law of Thermodynamics |
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Refer to figure given below. Let $$ΔU_1$$ and $$ΔU_2$$ be the change in internal energy in processes $$A$$ and $$B$$ respectively, $$ΔQ$$ be the net heat given to the system in process $$A + B$$ and $$ΔW$$ be the net work done by the system in the process $$A + B.$$

For the above figure:

 (a) $$\Delta U_1+\Delta U_2=0$$ (b) $$\Delta U_1-\Delta U_2=0$$ (c) $$\Delta Q-\Delta W=0$$ (d) $$\Delta Q+\Delta W=0$$

Choose the correct option:
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (c)

Subtopic:  Cyclic Process |
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The internal energy of an ideal gas decreases by the same amount as the work done by the system. Then:

 (a) The process must be adiabatic. (b) The process must be isothermal. (c) The process must be isobaric. (d) The temperature must decrease.

Choose the correct option from the given ones:

 1 (a) and (b) only 2 (b) and (c) only 3 (c) and (d) only 4 (a) and (d) only

Subtopic:  Types of Processes |
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Work done by a sample of an ideal gas in a process A is double the work done in another process B. The temperature rises through the same amount in the two processes. If CA and CB be the molar heat capacities for the two processes,

1.  CA = CB

2.  CA < C

3.  CA > CB

4.  CA and CB cannot be defined

Subtopic:  First Law of Thermodynamics |
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For a solid with a small expansion coefficient,

1.  Cp - CV = R

2.  Cp = CV

3.  Cp is slightly greater than CV

4.  Cp is slightly less than CV

Subtopic:  Molar Specific Heat |
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The value of Cp – CV is 1.00 R for a gas sample in state A and is 1.08 R in state B. Let pA , pB denote the pressures and TA and TB denote the temperatures of the states A and B respectively. Most likely

1.  pA < pB and TA > TB

2.  pA > pB and TA < T

3.  pA = PB and TA < TB

4.  pA > pB and TA = TB

Subtopic:  Molar Specific Heat |
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Let $$C_v$$ and $$​​C_p$$ denote the molar heat capacities of an ideal gas at constant volume and constant pressure, respectively. Which of the following is a universal constant?
1. $$\frac{C_p}{C_v}$$
2. $$C_pC_v$$
3. $$C_p-C_v$$
4. $$C_p+C_v$$
Subtopic:  Molar Specific Heat |
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$$70$$ calories of heat is required to raise the temperature of $$2$$ mole of an ideal gas at constant pressure from $$30^\circ~\mathrm{C}$$ to $$35^\circ~\mathrm{C}.$$ The amount of heat required to raise the temperature of the same gas through the same range at constant volume is:
1. $$30$$ calories
2. $$50$$ calories
3. $$70$$ calories
4. $$90$$ calories

Subtopic:  Molar Specific Heat |
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