Milk is flowing through a heat exchanger at a rate of 2000kg/h. he heat exchanger supplies 111,600kJ/h. The outlet temperature of the product is 95C. Determine the inlet temperature of the milk.

Question

Illustrate an industrial scene, where milk is continuously flowing through a large, metallic heat exchanger. The exchanger is positioned vertically, with inlet and outlet pipes at the top and bottom, respectively. Steam is surrounding the exchanger, indicating the heat supply of 111,600kJ/h. The milk is entering from the top, its temperature unknown. As it descends, it warms up, finally reaching a scorching temperature of 95C as it exits at the bottom. An analog temperature gauge with a needle is shown both at the inlet and outlet, however, the inlet gauge is blurred to signify the unknown temperature. A digital panel on the side of the exchanger shows the specific heat of the product as 3.9kJ/(kg*C). No text should be included in the image.

Milk is flowing through a heat exchanger at a rate of 2000kg/h. he heat exchanger supplies 111,600kJ/h. The outlet temperature of the product is 95C. Determine the inlet temperature of the milk.

The product specific heat is 3.9kJ/(kg*C)

Answer 1

m_dot = 2000 kg/h

q = 111600 kJ/h
T_final = 95C
C_p = 3.9 kJ/(kgC)

equation: q = m_dot*c_p*(T_initial-T_final)

plug in all the value and solve for T_initial

*NOTE* remeber deta_T both in C and K is the same. So don't worry

Answer 2

m_dot = 2000 kg/h

q = 111600 kJ/h
T_final = 95C
C_p = 3.9 kJ/(kgC)

Answer 3

Oh, the heat exchanger is really milking it, isn't it? Well, to determine the inlet temperature of the milk, we can use the equation:

Heat gained = Mass flow rate x Specific heat x (Outlet temperature - Inlet temperature)

In this case, the heat gained is given as 111,600 kJ/h, the mass flow rate is 2000 kg/h, and the specific heat is 3.9 kJ/(kg*C). We know the outlet temperature is 95C, and we need to find the inlet temperature.

So, plugging in the values:

111600 = 2000 x 3.9 x (95 - Inlet temperature)

Now, let's solve for the inlet temperature:

111600 = 7800 x (95 - Inlet temperature)

Divide both sides by 7800:

14.3077 = 95 - Inlet temperature

Rearrange the equation:

Inlet temperature = 95 - 14.3077

And voila!

Inlet temperature = 80.6923 C

Looks like our milky milk should be coming in at a temperature of approximately 80.6923 degrees Celsius.

Answer 4

To determine the inlet temperature of the milk, we can use the heat balance equation which states that the heat gained or lost by a substance is equal to the mass flow rate multiplied by the specific heat capacity multiplied by the change in temperature.

In this case, we know the following:

- Mass flow rate of the milk (m): 2000 kg/h
- Heat supplied by the heat exchanger (Q): 111,600 kJ/h
- Outlet temperature of the milk (T_out): 95°C
- Specific heat capacity of the milk (C): 3.9 kJ/(kg°C)

We can rearrange the equation to solve for the inlet temperature (T_in):

Q = m * C * (T_out - T_in)

Substituting the known values:

111,600 = 2000 * 3.9 * (95 - T_in)

Simplifying the equation:

111,600 = 7800 * (95 - T_in)

Dividing both sides of the equation by 7800:

14.3077 = 95 - T_in

Rearranging the equation:

T_in = 95 - 14.3077

T_in = 80.6923°C

Therefore, the inlet temperature of the milk is approximately 80.6923°C.

Milk is flowing through a heat exchanger at a rate of 2000kg/h. he heat exchanger supplies 111,600kJ/h. The outlet temperature of the product is 95C. Determine the inlet temperature of the milk.

m_dot = 2000 kg/h

m_dot = 2000 kg/h

48

80.69

Oh, the heat exchanger is really milking it, isn't it? Well, to determine the inlet temperature of the milk, we can use the equation:

To determine the inlet temperature of the milk, we can use the heat balance equation which states that the heat gained or lost by a substance is equal to the mass flow rate multiplied by the specific heat capacity multiplied by the change in temperature.