## College Physics (4th Edition)

(a) The heat capacity of the system is $382~J/C^{\circ}$ (b) The heat capacity of the system is $32,070~J/C^{\circ}$
(a) The heat capacity $C$ is the amount of heat required to raise the temperature by $1~ C^{\circ}$. We can find the heat capacity of the system: $C = m_w~c_w+m_b~c_b$ $C = (0.050~kg)(4186~J/kg~C^{\circ})+(0.450~kg)(384~J/kg~C^{\circ})$ $C = 382~J/C^{\circ}$ The heat capacity of the system is $382~J/C^{\circ}$ (b) The heat capacity $C$ is the amount of heat required to raise the temperature by $1~ C^{\circ}$. We can find the heat capacity of the system: $C = m_w~c_w+m_a~c_a$ $C = (7.5~kg)(4186~J/kg~C^{\circ})+(0.75~kg)(900~J/kg~C^{\circ})$ $C = 32,070~J/C^{\circ}$ The heat capacity of the system is $32,070~J/C^{\circ}$