You and a friend are camping and you would like to boil water to cook some vegetables. However, you forgot to bring a pot to cook in. The only thing you brought that holds water is a 6-L plastic water...

You and a friend are camping and you would like to boil water to cook some vegetables. However, you forgot to bring a pot to cook in. The only thing you brought that holds water is a 6-L plastic water bucket. Because the bucket cannot be placed in the campfire you suggest that the water in the bucket can be heated by hot stones taken from your campfire. Your friend claims that it would take hours to boil water by using stones. Being a good chemical engineering student, you have brought all of your textbooks with you camping and in one of the textbooks are the following experimental data for the dissolution of salt in water.

Experiment: 30 spherical salt tablets are placed in 6000 mL of water and stirred at 100 rpm. The concentration of salt in the water phase is measured as a function of time. The density of salt is 2.16 g/cm3, the saturation concentration of salt is 0.360 g/cm3, the total mass of tablets put in water is 19.2 g, and the diffusivity of salt in water is 2.2 × 10⁻⁵
cm²/s. Water’s thermal conductivity, heat capacity, and viscosity are 600 W/m K, 4.18 kJ/kg K, and 630 × 10⁻⁶
N s/m², respectively.

You plan to boil the water by holding one spherical stone 10 cm in diameter inside the bucket with metal tongs and stirring at 100 rpm. You may assume that the stone has a high heat capacity so that the temperature of the stone is constant at 450 ◦C (this is of course an approximation) and the initial temperature of the water is 25 ◦C. Determine how long it will take to boil the bucket of water