Consider the following statements:
\(\mathrm{A.}\) Zeroth law of thermodynamics gives concept of temperature
\(\mathrm{B.}\) First law of thermodynamics gives concept of internal energy
\(\mathrm{C.}\) In isothermal expansion of ideal gas, \(\Delta Q \neq \Delta W\)
\(\mathrm{D.}\) Product of intensive and extensive variables is extensive
\(\mathrm{E.}\) The ratio of any extensive variable to mass will be an extensive variable
Choose the correct combination of statements from the options given below:
1. \(\mathrm{C,D~\text{and}~E~\text{Only}}\)
2. \(\mathrm{A,B~\text{and}~C~\text{Only}}\)
3. \(\mathrm{A,B~\text{and}~D~\text{Only}}\)
4. \(\mathrm{B,C~\text{and}~D~\text{Only}}\)
Subtopic: Β First Law of Thermodynamics |
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One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston system. The cross-section area of the cylinder is \(4~\text{cm}^2\). The gas is heated slowly to raise the temperature by \(1.2^{\circ} \text{C}\) during which the piston moves by \(25~\text{mm}\). The amount of heat supplied to the gas is: (in J)
(Atmospheric pressure \(=100~\text{kPa}, R=8.3~\text{J/mol K} \)) (Neglect mass of the piston)
1. \(24.8\)
2. \(25\)
3. \(15.04\)
4. \(29.98\)
Subtopic: Β First Law of Thermodynamics |
Level 4: Below 35%
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During the melting of a slab of ice at \(273~ \text{K}\) at atmospheric pressure:
1. Positive work is done on the ice-water system by the atmosphere.
2. Internal energy of ice-water system remains unchanged.
3. Internal energy of the ice-water system decreases.
4. Positive work is done by the ice-water system on the atmosphere.
Subtopic: Β First Law of Thermodynamics |
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The net heat exchanged in the given cyclic process is:
 
1. \(81.5~\text J\)
2. \(61.5~\text J\)
3. \(100.2~ \text J\)
4. \(40.2 ~\text J\)
Subtopic: Β First Law of Thermodynamics |
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When the amount of heat supplied to a gas in a system is equal to \(1000\) J, the system in return does \(200\) J of work on the surrounding. What would be the change in the internal energy of the gas?
1. \(800\)
2. \(1200\) J
3. \(1000\)
4. \(1100\) J
Subtopic: Β First Law of Thermodynamics |
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A gas is compressed adiabatically. Which of the following statements is not correct?
1. Internal energy is constant
2. Temperature increases
3. |Work done| = |change in internal energy|
4. Heat is not supplied to the system
Subtopic: Β First Law of Thermodynamics |
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During an adiabatic process performed on a diatomic gas \(725\) J of work is done on the gas. The change in internal the energy of the gas is equal to:
1. \(495\) J
2. \(725\) J
3. \(225\) J
4. \(0\)
Subtopic: Β First Law of Thermodynamics |
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The initial volume of \(1\) mole of a monoatomic gas is \(2\) litres. It is expanded isothermally to a volume of \(6\) litres. Change in internal energy of the gas is:
1. \(2R\)
2. \(4R\)
3. \(R\)
4. \(0\)
Subtopic: Β First Law of Thermodynamics |
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For a system undergoing an isothermal process, heat energy is supplied to the system. Then,
I. Internal energy will increase.
II. Internal energy will decrease.
III. Work done by the system is positive.
IV. Work done by the system is negative.
V. Internal energy remains constant.

Choose the correct option from the given ones:
1. (I), (III), and (V) only  2. (II) and (IV) only
3. (III) and (V) only 4. (I), (IV), and (V) only
Subtopic: Β First Law of Thermodynamics |
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An electric appliance supplies \(6000~\text{ J/min}\) heat to the system. If the system delivers a power of \(90~\text W.\) How long it would take to increase the internal energy by \( 2.5 Γ— 10^3~\text{J}?\)
1. \(4.1\times 10^{1}~\text{s}\)
2. \(2.4\times 10^{3}~\text{s}\)
3. \(2.5\times 10^{1}~\text{s}\)
4. \(2.5\times 10^{2}~\text{s}\)
Subtopic: Β First Law of Thermodynamics |
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