I have been wondering, does specific heat capacity affect the rate of heat flow from one substance to another? For example if the substances at heated up to the same temperature then left outside until thermal equilibrium is reached. I would think the one with the larger specific heat capacity (substance x) cools at a faster rate as the energy difference between it and the atmosphere is greater than the one with a smal specific heat (substance y). The larger the energy difference the greater the rate of heat flow. As this energy difference becomes smaller due to the substance the rate of flow would lessen. The rate of heat flow behaves similarly to an exponential funtion, therefore am i correct in assuming that the affect of specific heat on heat flow is offset by the decrease of the energy difference effectively cancelling out the effect of specific heat?