Benzene and naphthalene form an ideal solution at room temperature. The true statement for this solution are:

A. \(\Delta G\) is positive

B. \(\Delta S_{system}\) is positive

C. \(\Delta S_{surrounding} = 0\)

D. \(\Delta _{mix}H = 0\)

E. \(\Delta _{mix}V = 0\)

Choose the correct answer from the options given below:

B, C, D, E only

The correct answer is option 2. B, C, D, E only.

Let us analyze each statement:

A. \(\Delta G\) is positive: For an ideal solution at room temperature, the mixing process tends to be spontaneous as it leads to an increase in disorder (entropy) of the system, which typically results in a negative Gibbs free energy change (\(\Delta G\)).

B. \(\Delta S_{\text{system}}\) is positive: For an ideal solution at room temperature, the disorder of the system generally increases as the two substances mix, resulting in a positive change in entropy (\(\Delta S_{\text{system}}\)).

C. \(\Delta S_{\text{surrounding}} = 0\): When two substances mix to form an ideal solution at constant temperature and pressure, there is typically no change in the entropy of the surrounding environment (\(\Delta S_{\text{surrounding}} = 0\)).

D. \(\Delta _{\text{mix}}H = 0\): For an ideal solution at constant temperature, the enthalpy change of mixing (\(\Delta _{\text{mix}}H\)) is typically close to zero, but not exactly zero. However, in the ideal case, it's often considered negligible.

E. \(\Delta _{\text{mix}}V = 0\): For an ideal solution, the volume change upon mixing (\(\Delta _{\text{mix}}V\)) is typically close to zero, but not exactly zero. However, in the ideal case, it's often considered negligible.

After analyzing each statement, the correct answer is 2. B, C, D, E only