Thermodynamics Test

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Thermodynamics Test - 75

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Weekly Quiz Competition

Question 1
1 / -0

A process is said to be spontaneous if

A
$$\triangle G = -ve$$

B
$$\triangle G^{\circ} = -ve$$

C
$$\triangle H = -ve$$

D
$$\triangle H^{\circ} = -ve$$
Question 2
1 / -0

A thermodynamical process is shown in the figure. The pressure and volumes corresponding to some points in the figure are$${ P }_{ A } = 3 \times {10}^{4} Pa$$ $${ V }_{A} = 2 \times {10}^{-3} { m }^{3} $$$${ P }_{ B } = 8 \times {10}^{4} Pa$$ $${ V }_{D} = 5 \times {10}^{-3} { m }^{3} $$In the process $$AB$$, $$600 J$$ of heat is added to the system and in process $$BC 200 J$$ of heat is added to the system. The change in internal energy of the system in process $$AC$$ would be

A
$$560 J$$

B
$$800 J$$

C
$$600 J$$

D
$$640 J$$

Solution
Question 3
1 / -0

A reaction has $$\triangle H = -33\ kJ$$ and $$\triangle S = +58\ J/K$$. This reaction would be:

A
spontaneous below a certain temperature

B
non-spontaneous at all temperature

C
spontaneous above a certain temperature

D
spontaneous at all temperature
Question 4
1 / -0

A body cools from $$71^0C$$ to $$69^0C$$ in $$4$$ minutes. If the surrounding temperature is constant at $$20^0C$$. Time taken by the body to cool from $$61^0C$$ to $$59^0C$$ is

A
$$5$$ minutes

B
$$4$$ minutes

C
$$6$$ minutes

D
$$3$$ minutes

Solution
Question 5
1 / -0

The P-V diagrams of two difference masses $$m_1$$ and $$m_2$$ for an ideal gas at constant temperature $$T$$is given in the figure below.

A
$$m_1 = m_2$$

B
$$m_1 < m_2$$

C
$$m_1 > m_2$$

D
Data insufficient

Solution
Question 6
1 / -0

Which of the following integrals depends only on the initial and final states of a thermodynamic system (i.e., independent of the path of transformation)?

A
$$
\int P d V
$$

B
$$
\int d Q
$$

C
$$
\int T^2 d S
$$

D
none of these

Solution
Question 7
1 / -0

Using the Gibbs energy change ,$${ \Delta G }^{ \circ }=+63.3 kJ,$$ for the following reaction,$${ Ag }_{ 2 }{ CO }_{ 3 }\rightleftharpoons 2Ag\left( sq \right) +{ CO }^{ 2- }_{ 3 }\left( aq \right) $$ the $${ K }_{ sp }of{ Ag }_{ 2 }{ CO }_{ 3 }\left( s \right) $$ in water at $${ 25 }^{ \circ }C$$ is:-

$$\left( R={ 8.314\quad j=J\quad k }^{ -1 }{ mol }^{ -1 } \right) $$

A
$${ 3.2\times 10 }^{ -26 }$$

B
$${ 8.0\times 10 }^{ -12 }$$

C
$${ 2.9\times 10 }^{ -3 }$$

D
$${ 7.9\times 10 }^{ -2 }$$

Solution
Question 8
1 / -0

The amount of heat energy required to raise the temperature $${\text{1}}\,{\text{g}}$$ of Helium at $${\text{NTP}}$$, from $${\text{T,K}}$$ to $${{\text{T}}_2}{\text{K}}$$ is

A
$$\frac{3}{2}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)$$

B
$$\frac{3}{4}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)$$

C
$$\frac{{\text{3}}}{{\text{4}}}{{\text{N}}_{\text{a}}}{{\text{k}}_{\text{B}}}\left( {\frac{{{{\text{T}}_{\text{2}}}}}{{{{\text{T}}_{\text{1}}}}}} \right)$$

D
$$\frac{{\text{3}}}{8}{{\text{N}}_{\text{a}}}{{\text{k}}_{\text{B}}}\left( {{T_2} - {T_1}} \right)$$

Solution
Question 9
1 / -0

A process has $$\Delta H=200 J mol^{-1}$$ and $$\Delta S=40 JK^{-1} mol^{-1}$$. Out of the values given below, choose the minimum temperature above which the process will be spontaneous?

A
4 K

B
20 K

C
5 K

D
12 k

Solution
Question 10
1 / -0

For a spontaneous process, if entropy and volume are constant, the internal energy system must

A
Increase

B
Decrease

C
Remain constant

D
Be zero

Solution