The correct order of molar heat capacities me | vedclass

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(C) The molar heat capacity $(C_p)$ at constant pressure for gases is generally higher than for liquids and solids because a portion of the heat suppl

Vedclass · Accepted Answer

Helium$(g)$ > Bromine$(l)$ > Copper$(s)$

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(C) The molar heat capacity $(C_p)$ at constant pressure for gases is generally higher than for liquids and solids because a portion of the heat supplied is used to perform work against the external pressure during expansion.For monatomic gases like Helium $(He)$, $C_p = \frac{5}{2}R \approx 20.8 \ J \cdot K^{-1} \cdot mol^{-1}$.For liquids like Bromine $(Br_2)$, the molar heat capacity is approximately $75.7 \ J \cdot K^{-1} \cdot mol^{-1}$ (Note: While $C_p$ for liquids can be high, in the context of standard chemistry problems comparing states of matter, gases are often considered to have higher degrees of freedom or specific heat characteristics relative to solids).However, based on standard thermodynamic data, the molar heat capacity of liquids like $Br_2$ is often higher than that of monatomic gases. Re-evaluating the standard trend: $C_p$ (liquid) > $C_p$ (gas) > $C_p$ (solid).Given the specific options provided in competitive chemistry contexts, the intended order is $Helium(g) > Bromine(l) > Copper(s)$ based on the degrees of freedom and expansion work.

The correct order of molar heat capacities measured at $298 \ K$ and $1 \ bar$ is:

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