The temperature of an object is changed when heat is added to or extracted from it. Determine the final temperature (in °C) of a 65.0 g mass of aluminum initially at 60.0°C if 1,050 J of heat energy is extracted from it. The specific heat of aluminum is 900 J/(kg · °C).

Respuesta :

Answer:

[tex]42.1^{\circ}C[/tex]

Explanation:

The heat extracted from the aluminium is given by:

[tex]Q=mC_s (T_f-T_i)[/tex]

where we have

Q = -1050 J is the heat extracted

m = 65.0 g = 0.065 kg is the mass

Cs = 900 J/kgC is the specific heat of aluminum

[tex]T_i = 60.0^{\circ}[/tex] is the initial temperature

By solving for [tex]T_f[/tex], we find the final temperature:

[tex]T_f = \frac{Q}{m C_s}+T_i=\frac{-1050 J}{(0.065 kg)(900 J/kg C)}+60.0^{\circ}C=42.1^{\circ}C[/tex]