Answer: The vapor pressure of naphthalene within the flask remains at
atm.
Explanation:
The transformation from solid naphthalene to its gaseous form follows the equilibrium reaction:

- The formula employed to determine the enthalpy change for the reaction is:
![\Delta H^o_{rxn}=\sum [n\times \Delta H^o_f(product)]-\sum [n\times \Delta H^o_f(reactant)]](https://tex.z-dn.net/?f=%5CDelta%20H%5Eo_%7Brxn%7D%3D%5Csum%20%5Bn%5Ctimes%20%5CDelta%20H%5Eo_f%28product%29%5D-%5Csum%20%5Bn%5Ctimes%20%5CDelta%20H%5Eo_f%28reactant%29%5D)
The formula for calculating the enthalpy change regarding the aforementioned reaction is:

The provided information includes:

Substituting the values into the previous equation produces:

- The formula utilized to compute Gibbs free energy change is of a reaction:
![\Delta G^o_{rxn}=\sum [n\times \Delta G^o_f(product)]-\sum [n\times \Delta G^o_f(reactant)]](https://tex.z-dn.net/?f=%5CDelta%20G%5Eo_%7Brxn%7D%3D%5Csum%20%5Bn%5Ctimes%20%5CDelta%20G%5Eo_f%28product%29%5D-%5Csum%20%5Bn%5Ctimes%20%5CDelta%20G%5Eo_f%28reactant%29%5D)
The equation for the enthalpy change for the reaction is:

The given factors include:

By inserting values from the above equation, we arrive at:

- For the calculation of
(at 25°C) regarding the provided value of Gibbs free energy, the following relationship is applied:

where,
= Gibbs free energy = 22.5 kJ/mol = 22500 J/mol (Conversion factor: 1kJ = 1000J)
R = Gas constant = 
T = temperature = ![25^oC=[273+25]K=298K](https://tex.z-dn.net/?f=25%5EoC%3D%5B273%2B25%5DK%3D298K)
= equilibrium constant at 25°C =?
Inserting values into the above equation yields:

- To determine the equilibrium constant at 35°C, we refer to the equation proposed by Arrhenius, which states:

where,
= Equilibrium constant at 35°C =?
= Equilibrium constant at 25°C = 
= Enthalpy change of the reaction = 72.1 kJ/mol = 72100 J
R = Gas constant = 
= Initial temperature = ![25^oC=[273+25]K=298K](https://tex.z-dn.net/?f=25%5EoC%3D%5B273%2B25%5DK%3D298K)
= Final temperature = ![35^oC=[273+35]K=308K](https://tex.z-dn.net/?f=35%5EoC%3D%5B273%2B35%5DK%3D308K)
By plugging values into the equation above, we obtain:

- In order to calculate the partial pressure of naphthalene at 35°C, we utilize the equation for
, which is:

The partial pressure of the solid phase is considered to be 1 at equilibrium.
Therefore, the value for
will equal 

Consequently, the partial pressure of naphthalene at 35°C is
atm.