Relationship between specific heat capacity and power

[Koenn]

What is the the relationship between the specific heat capacity and power (e/t) required to raise the objects temperature? Of course the energy required increases, but does the time it takes change also?

 

[cepheid]

What is the the relationship between the specific heat capacity and power (e/t) required to raise the objects temperature? Of course the energy required increases, but does the time it takes change also?

Welcome to PF,

The time it takes to raise the temperature would depend on the input power, which you control. So I imagine that you could have it take as long or as short an amount of time as you want to input that amount of energy, by changing the input power. However, if C increases, then assuming the input power P of your heater remains the same, the amount of time to raise the temperature by a given amount will increase, simply because you have more energy to input at the same power (rate).