Final answer:
The value of Kw at 50 °C is 1.00 × 10⁻¹⁴.
Step-by-step explanation:
The ion-product constant for water (Kw) is the mathematical product of the concentration of hydrogen ions and hydroxide ions. At 25 °C, the value of Kw in pure water is 1.0 × 10-14. The process is endothermic, so the value of Kw increases with temperature. For example, at 50 °C, the value of [H₃O] concentration is 2.34 × 10-7. To find Kw at this temperature, we can divide the value of [H₃O] concentration by the value of [OH¯] concentration. Therefore, the value of Kw at 50 °C is 2.34 × 10-7 divided by 2.34 × 10-7, which is equal to 1.00 × 10-14.