A friend posed a question to me yesterday: if I have two glasses of 60 F water, would they heat at a different rate if one were in a 70 F room and one were in a 90 F room. Myself having some education in an engineering school, I replied, 'of course'. He said that it was not so obvious, and that they would heat at the same rate.
I found this website on heat transfer. I scanned the resource and replied back to him that it appears it is a function of delta Temp and the heat transfer constant, so it would seem I am right. But I am thinking that the glasses themselves buffer the transfer - that they act as something of an insulator, and so it would appear that they are heating at nearly the same rate.
So I ask - everything being the same, two rooms, one at 70 and one at 90, if the water is held in two glass bottles, where the opening is so small we might say the area is large enough only so it doesn't cause a sealed environment, would the heat transfer appear to happen at the same rate to the observer?