The time it takes for boiling water to cool down to a specific temperature depends on several factors, including the initial temperature of the boiling water, the ambient temperature, the volume of water, and the specific heat capacity of water. However, I can provide you with a general estimate based on typical conditions.
Assuming you start with boiling water at 100°C, here are approximate time estimates for cooling down to the mentioned temperatures:
Cooling to 80°C: It usually takes around 5-7 minutes for boiling water to cool down to 80°C in a typical room temperature environment.
Cooling to 50°C: Cooling from boiling to 50°C usually takes approximately 15-20 minutes, depending on factors such as the volume of water and the ambient temperature.
Cooling to 35°C: Cooling from boiling to 35°C might take around 25-30 minutes, again depending on variables like volume and ambient conditions.
Please note that these time estimates are rough approximations and can vary depending on the factors mentioned earlier. Additionally, if you are looking for more precise calculations, you would need to consider factors like insulation, the shape of the container, and heat transfer coefficients, which can significantly affect the cooling rate.