Question

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

Answer 1

Explanation:

Antoine equation is as follows.

              $log_{10} P = A - \frac{B}{C + T}$

It water is at $75^{o}C$, 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.

               $log_{10} P = A - \frac{B}{C + T}$

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

                5.40365 = $8.07131 - \frac{1730.63}{233.4 + T}$

                        T = $415.33^{o}C$

Converting the temperature into Fahrenheit as follows.

                   $T_{F}$ = $\frac{9}{5} \times 415.33 + 32$

                                  = $779.5^{o}F$

Thus, we can conclude that the boiling temperature of the water is $779.5^{o}F$.