Water is stored in a tank at 75°C and 2.5 atm. Use the Antoine equation calculate the boiling temperature of the water (F). Report three significant figures

Respuesta :

Explanation:

Antoine equation is as follows.

              [tex]log_{10} P = A - \frac{B}{C + T}[/tex]

It water is at [tex]75^{o}C[/tex], then values of constants A, B, and C will be as follows.

               A = 8.07131,  B = 1730.63,  C = 233.426

When pressure, P = 2.5 atm then putting these given values into the above equation as follows.

               [tex]log_{10} P = A - \frac{B}{C + T}[/tex]

               [tex]log_{10} (2.5 \times 101.325 \times 10^{3}) = (8.07131 - \frac{1730.63}{233.426 + T})[/tex]    

                5.40365 = [tex]8.07131 - \frac{1730.63}{233.4 + T}[/tex]

                        T = [tex]415.33^{o}C[/tex]

Converting the temperature into Fahrenheit as follows.

                   [tex]T_{F}[/tex] = [tex]\frac{9}{5} \times 415.33 + 32[/tex]

                                  = [tex]779.5^{o}F[/tex]

Thus, we can conclude that the boiling temperature of the water is [tex]779.5^{o}F[/tex].