Thermodynamics Test

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Thermodynamics Test - 28

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Weekly Quiz Competition

Question 1
1 / -0

A process is said to be reversible if:

A
the system return to their original states

B
the surroundings return to their original states

C
both the system as well as the surroundings return to their original states

D
neither system nor surroundings return to their original states

Solution

Reversible process is that which can be reversed. Both the system and surrounding can come to their initial state.
Question 2
1 / -0

Molar heat capacity of water in equilibrium with the ice at constant pressure is

A
Zero

B
Infinity

C
$$40.45\ k^{-1} mol^{-1}$$

D
None

Solution

When water is at equilibrium with ice, the temperature of system is of melting point of water at that pressure.

Here, $$\Delta T=0$$, while Heat exchange, $$\Delta Q \neq0$$
So molar heat capacity is, $$\Delta Q/\Delta T \rightarrow \infty$$

Option B is correct.
Question 3
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Which of the following is not a thermodynamic coordinate?

A
Gas constant (R)

B
Pressure (P)

C
Volume (V)

D
Temperature (T)

Solution

R is a constant and is not a thermodynamic constant.
Question 4
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During adiabatic compression of a gas, its temperature.

A
Falls

B
Rises

C
Remains constant

D
Becomes zero

Solution

Using $$\Delta Q = \Delta W+\Delta U$$
For adiabatic process $$\Delta Q = 0$$
$$\implies \ \Delta U = -\Delta W$$
Since, work done in compressing a gas is negative, thus $$\Delta U>0$$
No heat goes out, the work done on the system increases the internal energy, hence temperature of the gas increases.
Question 5
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A gas does $$8$$J of external work during adiabatic expansion. Its temperature falls by $$4$$K. The internal energy of the gas will be.

A
Increase by $$8$$J

B
Decrease by $$4$$J

C
Decrease by $$8$$J

D
Increase by $$2$$J

Solution

From first law of thermodynamics, we have
dQ$$=$$dU$$=$$dW
For an adiabatic change $$dq=0$$
so, $$dU=-dW=-8$$J
Hence, the internal energy of the gas decreases by $$8$$J.
Question 6
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The Zeroth law of thermodynamics leads to the concept of:

A
internal energy

B
heat content

C
pressure

D
temperature

Solution

Zeroth law of thermodynamics is about equilibrium of 2 systems, which states that if 2 systems are in thermal equilibrium, than heat will not flow from one system to other system. So, in that case, temperature of both system will be same. So, zeroth law of thermodynamics leads to the concept of temperature.

$$Answer:$$

Hence, option D is the correct option.
Question 7
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A system $$X$$ is neither in thermal equilibrium with $$Y$$ nor with $$Z$$ The system $$Y$$ and $$Z$$

A
Must be in thermal equilibrium

B
Cannot be in thermal equilibrium

C
May be in thermal equilibrium

D
None of the above statements are correct

Solution

Given: There is a system X which is neither in thermal equilibrium with Y nor with Z.

Solution:

1. According to Zeroth law of thermodynamics, if two bodies are each in thermal equilibrium with a different third body then they are also in equilibrium with each other.

2. Here, in the question X is neither in thermal equilibrium with Y nor with Z. But from the given data we cannot predict any relation between system Y and Z. So, Y and Z may be at thermal equilibrium or may not be at thermal equilibrium with each other.

Hence, option C is correct.
Question 8
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A gas kept in a container, if the container is of finite conductivity, then the process

A
must be very nearly adiabatic

B
must be very nearly isothermal

C
may be very nearly adiabatic

D
may be very nearly isothermal

Solution

Due to finite conductivity of container very less heat is transferable in between the gas inside and environment outside. So the process must be very nearly adiabatic.
Question 9
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When the temperature of an iron sphere of mass 1 kg falls from $$30 ^ { \circ } \mathrm { C }$$ to $$25 ^ { \circ } C$$ the 550 calories of heat are released The heat capacity of iron sphere will be in cal/$${ \circ }_{ C }$$

A
110

B
220

C
330

D
440

Solution

$$\begin{array}{l} mS\Delta T=550 \\ \Rightarrow 1\times S\times \left( 5 \right) =550 \\ S=110 \\ Hence, \\ option\, \, A\, \, is\, \, correct\, \, answer. \end{array}$$
Question 10
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Which, if any, of the following is an example of a throttling process?

A
A reversible adiabatic process

B
An isothermal process

C
A constant volume process

D
An isentropic process

E
None of the above

Solution

Given: Throttling process
Solution:
In throttling process, there is no change in enthalpy from initial to final state, heat transfer is zero (adiabatic) and no work is done.
So, reversible adiabatic process is an example of throttling process.
Hence the correct option is A.

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Thermodynamics Test - 28

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Thermodynamics Test - 28

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SHARING IS CARING

Question 1

the system return to their original states

the surroundings return to their original states

both the system as well as the surroundings return to their original states

neither system nor surroundings return to their original states

Solution

Question 2

Zero

Infinity

$$40.45\ k^{-1} mol^{-1}$$

None

Solution

Question 3

Gas constant (R)

Pressure (P)

Volume (V)

Temperature (T)

Solution

Question 4

Falls

Rises

Remains constant

Becomes zero

Solution

Question 5

Increase by $$8$$J

Decrease by $$4$$J

Decrease by $$8$$J

Increase by $$2$$J

Solution

Question 6

internal energy

heat content

pressure

temperature

Solution

Question 7

Must be in thermal equilibrium

Cannot be in thermal equilibrium

May be in thermal equilibrium

None of the above statements are correct

Solution

Question 8

must be very nearly adiabatic

must be very nearly isothermal

may be very nearly adiabatic

may be very nearly isothermal

Solution

Question 9

110

220

330

440

Solution

Question 10

A reversible adiabatic process

An isothermal process

A constant volume process

An isentropic process

None of the above

Solution

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