Thermodynamics Test

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Thermodynamics Test - 62

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Question 1
1 / -0

Adiabatic expansion of a gas causes

A
Cooling

B
Heating

C
Decrement in internal energy

D
Zero work done

Solution
Question 2
1 / -0

For the thermal reaction occurring in nature ___________.

A
Temperature is always zero

B
Temperature is always high

C
Temperature is always low

D
Temperature can be of any order

Solution
Question 3
1 / -0

In an adiabatic change, the pressure P and temperature T of a monoatomic gas are related by the relation $$P \propto T^{C}$$, Where c equals

A
5/3

B
2/5

C
3/5

D
5/2

Solution
Question 4
1 / -0

An ideal diatomic, gas undergoes a polytropic process described by the equation $$P\sqrt { V } $$ constant. The molar heat capacity of the gas during this process is.

A
$$\dfrac { 9R }{ 2 } $$

B
$$\dfrac { R }{ 2 } $$

C
$$\dfrac { 7R }{ 2 } $$

D
5R

Solution
Question 5
1 / -0

A system undergoing an isothermal process.

A
Releases heat to the surroundings

B
Absorbs heat from the surroundings

C
Either (a) or (b)

D
Neither (a) nor (b)

Solution
Question 6
1 / -0

An ideal refrigerator operates according to the reverse Carnot cycle and transmits heat from a cold source with water at a temperature of $$27^{\circ}C$$ to a boiler with water at a temperature of $$100^{ \circ }C$$. What amount of water must be frozen in the cooler to convert 1 kg of water into vapor in the boiler ?

A
4.94 kg

B
3.24 kg

C
5.63 kg

D
2.12 kg
Question 7
1 / -0

When heat in given to a gas in an isobaric process, then

A
The work is done by the gas

B
Internal energy of the gas increases

C
Both (a) and (b)

D
None from (a) and (b)

Solution
Question 8
1 / -0

Figure shows two processes A and B on a system. Let $$\Delta Q_1$$ and $$\Delta Q_2$$ be the heat given to the system in processes A and B respectively. Then

A
$$\Delta Q_1 > \Delta Q_2$$

B
$$\Delta Q_1 = \Delta Q_2$$

C
$$\Delta Q_2 < \Delta Q_2$$

D
$$\Delta Q_1 <= \Delta Q_2$$

Solution

Both the processes $$A$$ and $$B$$ have common initial and final points. So, change in internal energy, $$\Delta U$$ is same in both cases. Internal energy is the state function that does not depend on the path forward.

In the $$P-V$$ diagram, the area under the curve represents the work done on the system, $$\Delta W$$. Since area under curve $$A>$$ area under curve $$B$$

$$\Delta W_1>\Delta W_2$$

Now,

$$\Delta Q_1=\Delta U+\Delta W_1$$

$$\Delta Q_2=\Delta U+\Delta W_2$$

But

$$\Delta W_1>\Delta W_2$$

$$\implies \Delta Q_1>\Delta Q_2$$

Here, $$\Delta Q_1$$ and $$\Delta Q_2$$ denotes the heat given to the system in processes $$A$$ and $$B$$, receptively.
Question 9
1 / -0

An ideal diatomic gas is expanded so that the amount of heat transferred to the gas is equal to the decrease in its internal energy.
The molar specific heat of the gas in this process is given by C whose value is.

A
-$$\frac{{5R}}{2}$$

B
-$$\frac{{3R}}{2}$$

C
2R

D
$$\frac{{5R}}{2}$$

Solution
Question 10
1 / -0

One mole of an ideal monatomic gas is taken along the path $$ABCA$$ as shown in the $$PV$$ diagram. The maximum temperature attained by the gas along the path $$BC$$ is given by

A
$$\dfrac { 25 } { 4 } \dfrac { P _ { 0 } V _ { 0 } } { R }$$

B
$$\dfrac { 5 } { 8 } \dfrac { P _ { 0 } V _ { 0 } } { R }$$

C
$$\dfrac { 25 } { 8 } \dfrac { P _ { 0 } V _ { 0 } } { R }$$

D
none of these