Seven liters of a fluid with a specific heat of 2.93 kJ/(kg * K)or 0.700 cal/(g * K)at 20 $\circ$ C are mixed with three liters of the same fluid at 32 $\circ$ C.Suppose that the fluid is insulated so that no energy can flow into it or out of it.What is the final temperature of the fluid? You do not know the density of the fluid,but you do know that the density is constant over this temperature range.

Question

Quizplus · Accepted Answer

The final temperature can be found using the principle of conservation of energy, without needing the density of the fluid. Since the volumes and initial temperatures are given, and the specific heat capacity is constant, the final temperature can be calculated by setting the heat gained by the cooler fluid equal to the heat lost by the warmer fluid. The density cancels out in the calculation, making it unnecessary to know its value.

Seven Liters of a Fluid with a Specific Heat of 2.93