Online Test — Thermodynamics
20 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 20
The first law of thermodynamics is:
$\Delta U=q-w$
$\Delta U=q+w$
$q=\Delta U-w$
$\Delta U=w-q$
Explanation: With the IUPAC convention $\Delta U=q+w$, $w$ positive when work is done on the system.
Question 2 of 20
An isolated system exchanges with its surroundings:
energy only
matter only
both
neither
Explanation: An isolated system exchanges neither matter nor energy.
Question 3 of 20
Which is NOT a state function?
$U$
$H$
$q$
$S$
Explanation: Heat $q$ is a path function.
Question 4 of 20
Enthalpy is defined as:
$H=U-PV$
$H=U+PV$
$H=U+TS$
$H=U-TS$
Explanation: $H=U+PV$.
Question 5 of 20
For $\Delta n_g=-1$, $\Delta H$ equals:
$\Delta U+RT$
$\Delta U-RT$
$\Delta U$
$\Delta U+2RT$
Explanation: $\Delta H=\Delta U+\Delta n_g RT=\Delta U-RT$.
Question 6 of 20
Mayer’s relation for an ideal gas is:
$C_p-C_v=R$
$C_p+C_v=R$
$C_v-C_p=R$
$C_pC_v=R$
Explanation: $C_p-C_v=R$.
Question 7 of 20
Work done at constant volume is:
$P\Delta V$
$-P\Delta V$
zero
$nRT$
Explanation: At constant volume $\Delta V=0$, so $w=0$.
Question 8 of 20
The standard enthalpy of formation of $\text{O}_2(g)$ is:
$+205$ kJ
$-205$ kJ
zero
$+498$ kJ
Explanation: Elements in their reference state have $\Delta_f H^\circ=0$.
Question 9 of 20
Hess’s law follows from the fact that enthalpy is a:
path function
state function
extensive only quantity
colligative property
Explanation: $\Delta H$ depends only on initial and final states.
Question 10 of 20
Enthalpy of combustion is always:
positive
negative
zero
variable in sign
Explanation: Combustion in oxygen releases heat, so $\Delta_c H<0$.
Question 11 of 20
Enthalpy of neutralisation of a strong acid and strong base is about:
$-57.1$ kJ/mol
$-285.8$ kJ/mol
$+57.1$ kJ/mol
$-110.5$ kJ/mol
Explanation: Only $\text{H}^++\text{OH}^-\rightarrow\text{H}_2\text{O}$ occurs, giving about $-57.1$ kJ/mol.
Question 12 of 20
Lattice enthalpy is obtained using a:
bomb calorimeter
Born–Haber cycle
Carnot cycle
coffee-cup calorimeter
Explanation: It cannot be measured directly; the Born–Haber (Hess) cycle is used.
Question 13 of 20
Using bond enthalpies, $\Delta_r H$ equals:
formed − broken
broken − formed
broken + formed
broken × formed
Explanation: Energy is absorbed breaking and released forming bonds.
Question 14 of 20
Entropy change for a reversible process is:
$q_{rev}T$
$T/q_{rev}$
$q_{rev}/T$
$q_{rev}+T$
Explanation: $\Delta S=q_{rev}/T$.
Question 15 of 20
A spontaneous process has:
$\Delta S_{total}>0$
$\Delta S_{total}<0$
$\Delta S_{total}=0$
$\Delta S_{sys}>0$ always
Explanation: The second law: total entropy of the universe increases.
Question 16 of 20
Gibbs energy change at constant $T,P$ is:
$\Delta H+T\Delta S$
$\Delta H-T\Delta S$
$\Delta U-T\Delta S$
$T\Delta S-\Delta H$
Explanation: $\Delta G=\Delta H-T\Delta S$.
Question 17 of 20
A reaction is spontaneous when:
$\Delta G>0$
$\Delta G=0$
$\Delta G<0$
$\Delta H>0$
Explanation: Spontaneity at constant $T,P$ requires $\Delta G<0$.
Question 18 of 20
The relation $\Delta G^\circ=-RT\ln K$ shows that if $\Delta G^\circ<0$ then:
$K<1$
$K=1$
$K>1$
$K=0$
Explanation: Negative $\Delta G^\circ$ gives $\ln K>0$, so $K>1$ (products favoured).
Question 19 of 20
Entropy of a perfect crystalline solid at 0 K is:
zero
maximum
negative
equal to $R$
Explanation: Third law of thermodynamics.
Question 20 of 20
For $\Delta H<0$ and $\Delta S<0$, the reaction is spontaneous:
at all temperatures
only at low temperature
only at high temperature
never
Explanation: The $-T\Delta S$ term is positive; $\Delta G<0$ only when $T$ is small.