Answer to Question #178709 in Physics for niloy

Question

A copper vessel of mass 135 kg contains 6.75 kg of water at a temperature of 25C. Find the heat roquited to warm the vessel and water to 90°C. Take specific heat of copper = 0 406 JAg K and specific heat of water 4.187 kkg K.

Answer 1

The heat required to increase the temperature of the vessel:

$$Q_v=c_vm_v\Delta t,\\ Q_w=c_wm_w\Delta t,\\ Q=Q_v+Q_v=\Delta t(c_vm_v+c_wm_w)=\\ =(90-25)(135·0.406+4187·6.75)=1840609\text{ J}.$$