Capacity Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacity Rate = Mass Flow Rate*Specific Heat Capacity
C = *c
This formula uses 3 Variables
Variables Used
Capacity Rate - (Measured in Watt per Kelvin) - Capacity Rate is defined as the amount of heat required to raise the temperature of an object by 1 degree Celsius or by 1 kelvin.
Mass Flow Rate - (Measured in Kilogram per Second) - Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
STEP 1: Convert Input(s) to Base Unit
Mass Flow Rate: 101.5 Kilogram per Second --> 101.5 Kilogram per Second No Conversion Required
Specific Heat Capacity: 1.5 Joule per Kilogram per K --> 1.5 Joule per Kilogram per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = ṁ*c --> 101.5*1.5
Evaluating ... ...
C = 152.25
STEP 3: Convert Result to Output's Unit
152.25 Watt per Kelvin --> No Conversion Required
FINAL ANSWER
152.25 Watt per Kelvin <-- Capacity Rate
(Calculation completed in 00.004 seconds)

Credits

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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10+ Heat Exchanger Calculators

Overall Heat Transfer Coefficient for Unfinned Tube
Go Overall Heat Transfer Coefficient after Fouling = 1/((1/External Convection Heat Transfer Coefficient)+Fouling Factor on Outside of Tube+(((Outside Tube Diameter*(ln(Outside Tube Diameter/Inside Tube Diameter))))/(2*Thermal Conductivity))+((Fouling Factor on Inside of Tube*Outside Tube Surface Area)/Inside Tube Surface Area)+(Outside Tube Surface Area/(Inside Convection Heat Transfer Coefficient*Inside Tube Surface Area)))
Total Heat Transfer Coefficient for Long Cylinder
Go Heat Transfer Coefficient = ((0.023*(Mass Velocity^0.8)*(Thermal Conductivity^0.67)*(Specific Heat Capacity^0.33))/((Diameter of Tube^0.2)*(Viscosity of Fluid^0.47)))
Heat Transfer in Heat Exchanger given Cold Fluid Properties
Go Heat = modulus(Mass of Cold Fluid*Specific Heat Capacity of Cold Fluid*(Inlet Temperature of Cold Fluid-Outlet Temperature of Cold Fluid))
Heat Transfer in Heat Exchanger given Hot Fluid Properties
Go Heat = Mass of Hot Fluid*Specific Heat Capacity of Hot Fluid*(Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)
Rate of Heat Transfer using Correction Factor and LMTD
Go Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference
Maximum Possible Rate of Heat Transfer
Go Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)
Number of Heat Transfer Units
Go Number of Heat Transfer Units = (Overall Heat Transfer Coefficient*Area of Heat Exchanger)/Minimum Capacity Rate
Heat Transfer in Heat Exchanger given Overall Heat Transfer Coefficient
Go Heat = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Log Mean Temperature Difference
Fouling Factor
Go Fouling Factor = (1/Overall Heat Transfer Coefficient after Fouling)-(1/Overall Heat Transfer Coefficient)
Capacity Rate
Go Capacity Rate = Mass Flow Rate*Specific Heat Capacity

15 Heat Exchanger and its Effectiveness Calculators

Overall Heat Transfer Coefficient for Unfinned Tube
Go Overall Heat Transfer Coefficient after Fouling = 1/((1/External Convection Heat Transfer Coefficient)+Fouling Factor on Outside of Tube+(((Outside Tube Diameter*(ln(Outside Tube Diameter/Inside Tube Diameter))))/(2*Thermal Conductivity))+((Fouling Factor on Inside of Tube*Outside Tube Surface Area)/Inside Tube Surface Area)+(Outside Tube Surface Area/(Inside Convection Heat Transfer Coefficient*Inside Tube Surface Area)))
Effectiveness of Counter-Current Heat Exchanger if Cold Fluid is Minimum Fluid
Go Effectiveness of HE when Cold Fluid is Min Fluid = (modulus((Inlet Temperature of Cold Fluid-Outlet Temperature of Cold Fluid))/(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid))
Effectiveness of Parallel-Flow Heat Exchanger if Cold Fluid is Minimum Fluid
Go Effectiveness of HE when Cold Fluid is Min Fluid = (Outlet Temperature of Cold Fluid-Inlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)
Effectiveness of Parallel-Flow Heat Exchanger if Hot Fluid is Minimum Fluid
Go Effectiveness of HE when Hot Fluid is Min Fluid = ((Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))
Effectiveness of Counter-Current Heat Exchanger if Hot Fluid is Minimum Fluid
Go Effectiveness of HE when Hot Fluid is Min Fluid = (Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)/(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)
Heat Transfer in Heat Exchanger given Cold Fluid Properties
Go Heat = modulus(Mass of Cold Fluid*Specific Heat Capacity of Cold Fluid*(Inlet Temperature of Cold Fluid-Outlet Temperature of Cold Fluid))
Heat Transfer in Heat Exchanger given Hot Fluid Properties
Go Heat = Mass of Hot Fluid*Specific Heat Capacity of Hot Fluid*(Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)
Rate of Heat Transfer using Correction Factor and LMTD
Go Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference
Maximum Possible Rate of Heat Transfer
Go Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)
Number of Heat Transfer Units
Go Number of Heat Transfer Units = (Overall Heat Transfer Coefficient*Area of Heat Exchanger)/Minimum Capacity Rate
Heat Transfer in Heat Exchanger given Overall Heat Transfer Coefficient
Go Heat = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Log Mean Temperature Difference
Heat Exchanger Effectiveness for Minimum Fluid
Go Effectiveness of Heat Exchanger = Temperature Difference of Minimum Fluid/Maximum Temperature Difference in Heat Exchanger
Fouling Factor
Go Fouling Factor = (1/Overall Heat Transfer Coefficient after Fouling)-(1/Overall Heat Transfer Coefficient)
Heat Exchanger Effectiveness
Go Effectiveness of Heat Exchanger = Actual Rate of Heat Transfer/Maximum Possible Rate of Heat Transfer
Capacity Rate
Go Capacity Rate = Mass Flow Rate*Specific Heat Capacity

Capacity Rate Formula

Capacity Rate = Mass Flow Rate*Specific Heat Capacity
C = *c

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Capacity Rate?

Capacity Rate calculator uses Capacity Rate = Mass Flow Rate*Specific Heat Capacity to calculate the Capacity Rate, The Capacity Rate formula is defined as the quantity of heat a flowing fluid of a certain mass flow per unit temperature. Capacity Rate is denoted by C symbol.

How to calculate Capacity Rate using this online calculator? To use this online calculator for Capacity Rate, enter Mass Flow Rate (ṁ) & Specific Heat Capacity (c) and hit the calculate button. Here is how the Capacity Rate calculation can be explained with given input values -> 152.25 = 101.5*1.5.

FAQ

What is Capacity Rate?
The Capacity Rate formula is defined as the quantity of heat a flowing fluid of a certain mass flow per unit temperature and is represented as C = ṁ*c or Capacity Rate = Mass Flow Rate*Specific Heat Capacity. Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units & Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
How to calculate Capacity Rate?
The Capacity Rate formula is defined as the quantity of heat a flowing fluid of a certain mass flow per unit temperature is calculated using Capacity Rate = Mass Flow Rate*Specific Heat Capacity. To calculate Capacity Rate, you need Mass Flow Rate (ṁ) & Specific Heat Capacity (c). With our tool, you need to enter the respective value for Mass Flow Rate & Specific Heat Capacity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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