The rate of heat transfer is directly proportional to the temperature difference the water and it’s surrounding but the energy required to change the water 1 degree is quite constant for liquid water.
The result is that water with a temperature farther away from the surrounding air will change temperature faster.
So if the room is at 25C and you have water at 95 C the difference is 50C.
Then the water cools to 35C the difference is only 10C.
So if it took 1 minute for the water to drop from 95C 94C it will take 50/10=5 times longer to drop from 35C to 34C or 5 minutes.
At 27C the difference is only 2C so a drop to 26C will take 50/2 = 25 times longer or 25 minutes.
Melting ice actually takes quite a long time since it requires 333kj/kg versus 4kj/kg per degree to heat water. So melting ice requires the same energy as to heat 0C water to 333/4=83C.
If you have ice and water in a container all of it will be close to 0C until all ice has melted
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