Thermodynamics Test

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Thermodynamics Test - 66

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Weekly Quiz Competition

Question 1
1 / -0

Molar heat capacity is directly related to :

A
temperature

B
heat energy

C
molecular structure

D
mass

Solution
Question 2
1 / -0

Figure shows a process on a gas in which pressure and volume both change.The molar heat capacity for this process is C

A
C = 0

B
$$ C = C_v $$

C
$$ C > C_v $$

D
$$ C > C_v $$

Solution
Question 3
1 / -0

In an isothermal process on an ideal gas,the pressure increases by 0.5%.The volume decreases by about

A
0.25 %

B
0.5 %

C
0.7 %

D
1 %

Solution
Question 4
1 / -0

A perfect gas of a given mass is heated first in a small vessel and then in a large vessel, such that their volumes remain unchanged. The P-T curves are:

A
parabolic with same curvature

B
parabolic with different curvature

C
linear with same slopes

D
linear with different slopes

Solution
Question 5
1 / -0

An air bubble of volume $$ V_0 $$ is released by a fish at a depth $$ h$$ in a lake. The bubble rises to the surface. Assume constant temperature and standard atmospheric pressure above the lake. The volume of the bubble just before touching the surface will be $$ (density ) $$ of water is $$\rho$$ :

A
$$ V_0 $$

B
$$ V_0(\rho gh /p) $$

C
$$ \dfrac {v_0}{ ( 1 + \dfrac { \rho gh}{p} ) }$$

D
$$ V_0 \left( 1 + \dfrac {\rho gh}{p} \right) $$

Solution
Question 6
1 / -0

PV curve for the process whose VT curve is:

A

B

C

D

Solution

From the above figure
AB
(adiabatic)

CA
(isothermal)

BC
slope =constant ie,
$$P=constant$$
(isobaric)

only option A resemble the same cycle
Question 7
1 / -0

At a temperature of $$ T_0 = 273 K $$ two moles of an ideal gas undergoes a process as shown . the total amount of heat imparted to the gas equals $$ Q = 27.7 kJ $$ . determine the ratio of molar specific heat capacities

A
$$1.41$$

B
$$1.63$$

C
$$1.33$$

D
none of these

Solution
Question 8
1 / -0

PV curve for the process whose $$VT$$ curve is:

A

B

C

D

Solution

From the above figure
AB
(adiabatic)

CA
(isothermal)

BC
slope =constant ie,
$$P=constant$$
(isobaric)

only option A resemble the same cycle
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

As we know that total heat energy for diatomic molecules of gas

is, $$C_v= \frac{5R}{2}$$

But for decreasing in internal energy for diatomic molecules

is, $$ C= (-C_v)$$

$$\frac{-5R}{2}$$
Question 10
1 / -0

A cyclic process ABCD is shown in the P-V diagram. Which of the following curves represents the same process if BC and DA are isothermal processes:

A

B

C

D

Solution