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Problem#2 A graphite cuboid of mass m = 1.875 kg is initially at room temperature 25°C and heated with a heating source q = 1 kW as shown in Figure 2. The dimensions are of the cuboid 10cm×15cm×5cm and the heat transfer coefficient h = 2130 W/m².k. Assuming the temperature of the cuboid is going to be homogenous at all times, do the following: a) Derive the equation of motion for the system. b) Find the temperature of the cuboid as a function of time. c) Find the value of $C_p$ if the temperature of cuboid after 10 seconds is 30°C. d) Find the time constant of the system and estimate the steady state time. e) Find the steady state temperature of the cuboid.

          Problem#2
A graphite cuboid of mass m = 1.875 kg is initially at room temperature 25°C and heated with a
heating source q = 1 kW as shown in Figure 2. The dimensions are of the cuboid
10cm×15cm×5cm and the heat transfer coefficient h = 2130 W/m².k. Assuming the temperature
of the cuboid is going to be homogenous at all times, do the following:
a) Derive the equation of motion for the system.
b) Find the temperature of the cuboid as a function of time.
c) Find the value of $C_p$ if the temperature of cuboid after 10 seconds is 30°C.
d) Find the time constant of the system and estimate the steady state time.
e) Find the steady state temperature of the cuboid.

Problem#2
A graphite cuboid of mass m = 1.875 kg is initially at room temperature 25°C and heated with a
heating source q = 1 kW as shown in Figure 2. The dimensions are of the cuboid
10cm×15cm×5cm and the heat transfer coefficient h = 2130 W/m².k. Assuming the temperature
of the cuboid is going to be homogenous at all times, do the following:
a) Derive the equation of motion for the system.
b) Find the temperature of the cuboid as a function of time.
c) Find the value of Cp if the temperature of cuboid after 10 seconds is 30°C.
d) Find the time constant of the system and estimate the steady state time.
e) Find the steady state temperature of the cuboid.

Added by Melissa M.

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