Liquid Temperature given Energy Discharge Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature of Liquid in Tank = (Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))+Temperature of Makeup Liquid
Tl = (qload/(mload*Cpk))+Ti
This formula uses 5 Variables
Variables Used
Temperature of Liquid in Tank - (Measured in Kelvin) - Temperature of liquid in tank is the uniform temperature of the well-mixed liquid which only varies with time.
Energy Discharge Rate to Load - (Measured in Watt) - Energy discharge rate to load is the amount of energy being transferred from collectors to the load.
Mass Flow Rate to Load - (Measured in Kilogram per Second) - Mass flow rate to load is the flow of mass through the tank per unit time .
Specific Heat Capacity at Constant Pressure per K - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure per K is the amount of heat that is required to raise the temperature of a unit mass of substance by 1 degree at constant pressure.
Temperature of Makeup Liquid - (Measured in Kelvin) - Temperature of makeup liquid is the temperature of liquid which is added to compensate for losses, especially losses caused by evaporation.
STEP 1: Convert Input(s) to Base Unit
Energy Discharge Rate to Load: 15000 Watt --> 15000 Watt No Conversion Required
Mass Flow Rate to Load: 2.5 Kilogram per Second --> 2.5 Kilogram per Second No Conversion Required
Specific Heat Capacity at Constant Pressure per K: 5000 Kilojoule per Kilogram per K --> 5000000 Joule per Kilogram per K (Check conversion here)
Temperature of Makeup Liquid: 300 Kelvin --> 300 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tl = (qload/(mload*Cpk))+Ti --> (15000/(2.5*5000000))+300
Evaluating ... ...
Tl = 300.0012
STEP 3: Convert Result to Output's Unit
300.0012 Kelvin --> No Conversion Required
FINAL ANSWER
300.0012 Kelvin <-- Temperature of Liquid in Tank
(Calculation completed in 00.004 seconds)

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8 Thermal Energy Storage Calculators

Mass flow rate maintained during charging and discharging
Go Mass Flow Rate during Charging and Discharging = Theoretical Storage Capacity/(Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid)
Theoretical Storage Capacity given Change in Initial Temperature
Go Theoretical Storage Capacity = Mass Flow Rate during Charging and Discharging*Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid
Liquid Temperature given Useful Heat Gain
Go Temperature of Liquid in Tank = Temperature of Liquid from Collector-(Useful heat gain/(Mass Flow Rate during Charging and Discharging*Molar Specific Heat Capacity at Constant Pressure))
Useful heat gain in liquid storage tank
Go Useful heat gain = Mass Flow Rate during Charging and Discharging*Molar Specific Heat Capacity at Constant Pressure*(Temperature of Liquid from Collector-Temperature of Liquid in Tank)
Overall heat transfer coefficient in liquid storage tank
Go Overall Heat Transfer Coefficient Thermal Storage = Thermal Conductivity of Insulation/(Radius of Tank*(ln(Radius with Insulation/Radius of Tank)))
Make up Liquid Temperature given Energy Discharge Rate
Go Temperature of Makeup Liquid = Temperature of Liquid in Tank-(Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))
Liquid Temperature given Energy Discharge Rate
Go Temperature of Liquid in Tank = (Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))+Temperature of Makeup Liquid
Energy Discharge Rate to Load
Go Energy Discharge Rate to Load = Mass Flow Rate to Load*Molar Specific Heat Capacity at Constant Pressure*(Temperature of Liquid in Tank-Temperature of Makeup Liquid)

Liquid Temperature given Energy Discharge Rate Formula

Temperature of Liquid in Tank = (Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))+Temperature of Makeup Liquid
Tl = (qload/(mload*Cpk))+Ti

What is the rate of thermal energy?

The rate of thermal energy (heat flow) is the amount of heat that is transferred per unit of time in some material, usually measured in watt (joules per second). Heat is the flow of thermal energy driven by thermal non-equilibrium.

How to Calculate Liquid Temperature given Energy Discharge Rate?

Liquid Temperature given Energy Discharge Rate calculator uses Temperature of Liquid in Tank = (Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))+Temperature of Makeup Liquid to calculate the Temperature of Liquid in Tank, The Liquid Temperature given Energy Discharge Rate formula is defined as the uniform temperature of the well-mixed liquid which only varies with time. Temperature of Liquid in Tank is denoted by Tl symbol.

How to calculate Liquid Temperature given Energy Discharge Rate using this online calculator? To use this online calculator for Liquid Temperature given Energy Discharge Rate, enter Energy Discharge Rate to Load (qload), Mass Flow Rate to Load (mload), Specific Heat Capacity at Constant Pressure per K (Cpk) & Temperature of Makeup Liquid (Ti) and hit the calculate button. Here is how the Liquid Temperature given Energy Discharge Rate calculation can be explained with given input values -> 300.0012 = (15000/(2.5*5000000))+300.

FAQ

What is Liquid Temperature given Energy Discharge Rate?
The Liquid Temperature given Energy Discharge Rate formula is defined as the uniform temperature of the well-mixed liquid which only varies with time and is represented as Tl = (qload/(mload*Cpk))+Ti or Temperature of Liquid in Tank = (Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))+Temperature of Makeup Liquid. Energy discharge rate to load is the amount of energy being transferred from collectors to the load, Mass flow rate to load is the flow of mass through the tank per unit time , Specific Heat Capacity at Constant Pressure per K is the amount of heat that is required to raise the temperature of a unit mass of substance by 1 degree at constant pressure & Temperature of makeup liquid is the temperature of liquid which is added to compensate for losses, especially losses caused by evaporation.
How to calculate Liquid Temperature given Energy Discharge Rate?
The Liquid Temperature given Energy Discharge Rate formula is defined as the uniform temperature of the well-mixed liquid which only varies with time is calculated using Temperature of Liquid in Tank = (Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))+Temperature of Makeup Liquid. To calculate Liquid Temperature given Energy Discharge Rate, you need Energy Discharge Rate to Load (qload), Mass Flow Rate to Load (mload), Specific Heat Capacity at Constant Pressure per K (Cpk) & Temperature of Makeup Liquid (Ti). With our tool, you need to enter the respective value for Energy Discharge Rate to Load, Mass Flow Rate to Load, Specific Heat Capacity at Constant Pressure per K & Temperature of Makeup Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Temperature of Liquid in Tank?
In this formula, Temperature of Liquid in Tank uses Energy Discharge Rate to Load, Mass Flow Rate to Load, Specific Heat Capacity at Constant Pressure per K & Temperature of Makeup Liquid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature of Liquid in Tank = Temperature of Liquid from Collector-(Useful heat gain/(Mass Flow Rate during Charging and Discharging*Molar Specific Heat Capacity at Constant Pressure))
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