Thermodynamics Test

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Thermodynamics Test - 72

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Weekly Quiz Competition

Question 1
1 / -0

500 J of heat was supplied to a system at constant volume.It resulted in the increase of temperature of the system from $$20^oC$$ to $$25^oC$$ .What is the change in internal energy of the system?

A
$$+8.43\ J$$

B
$$+43\ J$$

C
$$+458.43\ J$$

D
$$+580.43\ J$$
Question 2
1 / -0

The P - V diagram of a system undergoing a thermodynamic process is shown in figure. Work done by the system in going from $$A \rightarrow B \rightarrow C$$ is 30 J and 40 J heat is given to the system. The change in internal energy of the gas if the gas is directly taken from A to C is

A
10 J

B
70 J

C
84 J

D
134 J

Solution

For process $$A \to B \to C$$
$$\Delta u = \Delta \theta - \Delta \omega $$
$$ = 40 - 30$$
$$ = 10J$$
$$A \to C$$
$$\Delta u = 10J$$
Hence$$,$$ option $$(A)$$ is correct$$.$$
Question 3
1 / -0

The internal energy of a gas in an adiabatic process is given by $$U=a+bPV$$ find y:-

A
$$\dfrac { a+1 }{ a } $$

B
$$\dfrac { b+1 }{ b } $$

C
$$\dfrac { b+1 }{ a } $$

D
$$\dfrac { a }{ b+1 } $$

Solution
Question 4
1 / -0

For reaction $$ A \rightarrow B $$, $$ \Delta H $$ and $$ \Delta S $$ are positive. the most favourable condition of spontaneous process.

A
low temperature

B
high temperature

C
high concentration

D
very low temperature

Solution
Question 5
1 / -0

The standard reduction potentials for $$ Zn^{2+} /Zn, Ni^{2+} / Ni $$ and $$ Fe^{2+} $$ are -0.76, -0.23 and -0.44V respectively. The reduction $$ X +Y^{2+} \rightarrow X^{2+} +Y $$ will be spontaneous when :

A
X = Ni, Y = Zn

B
X=Fe, Y = Zn

C
X = Zn, Y = Ni

D
X = Ni, Y= Fe
Question 6
1 / -0

For the reaction at 298K $$CaCO_{3}(s)\rightarrow CaO(s)+CO_{2}(g), \Delta H^{o}=178.3kJ,\Delta S^{o}=160Jk^{-1}$$
Select correct statement$$(s)$$:

A
The reaction is sponteneously at this temperature $$(298 K)$$

B
If temperature is decrease forward reaction is fevoured

C
The reaction is spontaneously in forward direction onlt at temperature above $$1000K$$

D
The reaction is spontaneously in forward direction onlt at temperature above $$1.114K$$

Solution
Question 7
1 / -0

In which of the following ionic compounds, $$\Delta H_f$$ is negative only due to lattice energy:
(i) $$NaF$$ (ii) $$MgO$$ (iii)$$Li_2N$$ (iv)$$Na_2S$$

A
Only (iv)

B
Only (iii) and (iv)

C
Only (ii), (iii), (iv)

D
All of these
Question 8
1 / -0

When a bottle of perfume is opened, odorous molecules mix with air and slowly diffuse throughout the entire room. The incorrect fact about the process is:

A
$$ \triangle G = -Ve $$

B
$$ \triangle H \simeq 0 $$

C
$$ \triangle S = -Ve $$

D
$$ \triangle S = +ve $$

Solution
Question 9
1 / -0

At $$57^o$$C, gaseous dinitrogen tetraoxide is $$50\%$$ dissociated. Calculate the standard free energy change per mole of $$N_2O_4(g)$$ at this temperature and at $$1$$ atm.
$$R=8.3 JK^{-1}mol^{-1}$$, ln$$10=2.3$$, log $$2=0.3$$, log $$3=0.48$$.

A
$$-756$$J $$mol^{-1}$$

B
$$-856$$ J $$mol^{-1}$$

C
$$-656$$ J $$mol^{-1}$$

D
None of these
Question 10
1 / -0

$$ \triangle G$$ of the conversion of 2 mol of $$ C_6H_6(I) at 80^oC $$ (normal boiling point) to vapour at the same temperature and a pressure of 0.2 atm is:

A
-9.44 Kcl/mol

B
-2.27 Kcal/mol

C
-1.135 Kcal/mol

D
zero

Solution