Water at 15^ C is contained inside a closed, thermally insulated copper vessel. The temperature increases to 17^ C after the vessel is vigorously shaken for 15 minutes. The mass of the water is 200 g and the mass of the vessel is 100 g . The specific heat capacities of copper and water are 420 J kg ⁻¹ K ⁻¹ and 4200 J kg ⁻¹ K ⁻¹ , respectively. Ignore any thermal expansion. Determine the amount of heat transferred to

Step-by-step solution

According to the first law of thermodynamics, the change in internal energy is given by U = Q + W , where Q is the heat transferred to the system and W is the work done on the system. The problem states that the copper vessel is thermally insulated. This means that no heat can flow into or out of the system from the surroundings. Therefore, the heat transferred to the liquid-vessel system is Q = 0 . The increase in temperature from 15^ C to 17^ C is entirely due to the mechanical work done on the system by vigorous