JEE Challenger
More from Thermodynamics

Species with Zero Standard Molar Enthalpy of Formation

The species which by definition has ZERO standard molar enthalpy of formation at 298 K298\text{ K} is

Options

A

Br2 (g)\text{Br}_2\text{ (g)}

B

Cl2 (g)\text{Cl}_2\text{ (g)}

Correct
C

H2O (g)\text{H}_2\text{O (g)}

D

CH4 (g)\text{CH}_4\text{ (g)}

Step-by-Step Solution

By thermodynamic convention, the standard molar enthalpy of formation (ΔfH∘\Delta_f H^\circ) of any element in its reference state (the most stable physical form and state of aggregation at 298.15 K298.15\text{ K} and standard pressure of 1 bar1\text{ bar}) is defined to be zero:
ΔfH∘(element in its standard reference state)=0\Delta_f H^\circ (\text{element in its standard reference state}) = 0

Let us analyze the given options at 298 K298\text{ K}:

  1. Br2 (g)\text{Br}_2\text{ (g)}: The standard, most stable physical state of elemental bromine at 298 K298\text{ K} and 1 bar1\text{ bar} is a liquid (Br2 (l)\text{Br}_2\text{ (l)}). Thus, ΔfH∘[Br2 (l)]=0\Delta_f H^\circ[\text{Br}_2\text{ (l)}] = 0, whereas ΔfH∘[Br2 (g)]=ΔvapH∘>0\Delta_f H^\circ[\text{Br}_2\text{ (g)}] = \Delta_{\text{vap}}H^\circ > 0.
  2. Cl2 (g)\text{Cl}_2\text{ (g)}: The standard, most stable physical state of elemental chlorine at 298 K298\text{ K} and 1 bar1\text{ bar} is a diatomic gas (Cl2 (g)\text{Cl}_2\text{ (g)}). Therefore, by definition:
    ΔfH∘[Cl2 (g)]=0 kJ mol−1\Delta_f H^\circ[\text{Cl}_2\text{ (g)}] = 0\text{ kJ mol}^{-1}
  3. H2O (g)\text{H}_2\text{O (g)} and CH4 (g)\text{CH}_4\text{ (g)}: These are chemical compounds formed from their constituent elements, so their standard enthalpies of formation are non-zero (ΔfH∘≠0\Delta_f H^\circ \neq 0).

Hence, the correct option is B.