The internal energy of an ideal gas decreases by the same amount as the work done by the system.

(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
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (d) 

Subtopic:  Types of Processes |
 80%
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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 |
 57%
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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 |
 83%
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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 |
 66%
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The figure shows a process on a gas in which pressure and volume both change. The molar heat capacity for this process is C.

          

1.   C = 0

2.   C = C

3.   C > CV

4.   C < CV

Subtopic:  Molar Specific Heat |
 63%
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The molar heat capacity for the process shown in the following figure is:
  

1.  C = Cp

2.  C = C

3.  C > CV

4.  C =0

Subtopic:  Molar Specific Heat |
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In an isothermal process on an ideal gas, the pressure increases by 0.5%. The volume decreases by about

1.  0.25%

2.  0.5%

3.  0.7%

4.  1%.

Subtopic:  Types of Processes |
 74%
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In an adiabatic process on a gas with y = 1.4, the pressure is increased by 0.5%. The volume decreases by about

1.  0.36%

2.  0.5%

3.  0.7%

4.  1%.

Subtopic:  Types of Processes |
 56%
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