Answer:
a) Q = 12600000 [J]
b) t = 4200 [s] or 70 [min]
Step-by-step explanation:
To solve this problem we must use the following equation that is defined as the heat equation, this equation relates the mass to the specific heat and temperature changes.
Q = m*Cp*(T_f - T_i)
where:
Q = energy as heat [J] (units of Joules)
Cp = specific heat = 4200 [J/Kg * °C]
T_f = final temperature = 60 [°C]
T_i = initial temperature = 10 [°C]
m = mass = 60 [kg]
Q = 60*4200*(60 - 10)
Q = 12600000 [J]
b)
To calculate the time, we know that the power is equal to the energy generated over the given time.
P = Q/t
where:
P = power = 3000 [W]
t = time [s]
t = Q/P
t = 12600000/3000
t = 4200 [s] or 70 [min]