Question

The incorrect statements among the following

• A. Enthalpy of neutralization of formic acid vs $NaOH$ is greater than enthalpy of neutralization of acetic acid
• B. Heat capacity of $O_2$ is independent of temperature
• C. Boiling of water at 374 K is an equilibrium process
• D. For the same volume change workdone in adiabatic compression is greater than reversible isothermal compression

Answer 1

Answer: (B), (C)

The correct options are
B Heat capacity of $O_2$ is independent of temperature
C Boiling of water at 374 K is an equilibrium process

a) Since formic acid is a stronger acid than acetic acid, enthalpy of neutralization will be greater.

b) For di and polyatomic molecules, vibrational degrees of freedom contribute to heat capacity at higher temperature.

c) Boiling of water at 374 K is a spontaenous process. At this temperature $\Delta H>T\Delta S$

d) $P_1{V}_1=P_2{V}_2$ for isothermal reversible compression
$P_1{V}_1^{\gamma }=P_3{V}_2^{\gamma }$ for adiabatic compression.

$\therefore \frac{V_1{V}_2^{\gamma }}{V_1^{\gamma }{V}_2}=\frac{P_2}{P_3}$

Since $V_1$ is greater than $V_2$ and $\gamma$ is greater than 1, $P_2$ is less than $P_3$. Hence more work is done in adiabatic compression.