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 = (ql/(ml*Cpk))+Ti
This formula uses 5 Variables
Variables Used
Temperature of Liquid in Tank - (Measured in Kelvin) - Temperature of Liquid in Tank is the temperature of the liquid stored in a thermal energy storage tank, used to store thermal energy.
Energy Discharge Rate to Load - (Measured in Watt) - Energy Discharge Rate to Load is the rate at which thermal energy is released from the storage system to meet the load requirements.
Mass Flow Rate to Load - (Measured in Kilogram per Second) - Mass Flow Rate to Load is the rate at which thermal energy is transferred to the load from the thermal storage system during discharge.
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 energy required to raise the temperature of a unit mass of a substance by one degree Kelvin.
Temperature of Makeup Liquid - (Measured in Kelvin) - Temperature of Makeup Liquid is the temperature of the liquid used to top up the thermal storage system to maintain its thermal energy capacity.
STEP 1: Convert Input(s) to Base Unit
Energy Discharge Rate to Load: 15250 Watt --> 15250 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 = (ql/(ml*Cpk))+Ti --> (15250/(2.5*5000000))+300
Evaluating ... ...
Tl = 300.00122
STEP 3: Convert Result to Output's Unit
300.00122 Kelvin --> No Conversion Required
FINAL ANSWER
300.00122 300.0012 Kelvin <-- Temperature of Liquid in Tank
(Calculation completed in 00.004 seconds)

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Thermal Energy Storage Calculators

Liquid Temperature given Useful Heat Gain
​ LaTeX ​ 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
​ LaTeX ​ 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)
Liquid Temperature given Energy Discharge Rate
​ LaTeX ​ 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
​ LaTeX ​ Go Energy Discharge Rate to Load = Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure Per K*(Temperature of Liquid in Tank-Temperature of Makeup Liquid)

Liquid Temperature given Energy Discharge Rate Formula

​LaTeX ​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
Tl = (ql/(ml*Cpk))+Ti

What is the rate of Thermal Energy Transfer?

The rate of thermal energy transfer, often referred to as the rate of heat flow, is the amount of heat transferred per unit of time. It is typically measured in watts (joules per second) and depends on several factors, including the temperature difference between the two areas, the material through which the heat is being transferred, and the surface area and thickness of the material.

What is Thermal Energy Storage?

Thermal Energy Storage is the process of storing thermal energy for later use which involves heating or cooling a medium, such as water, ice, or other materials, to store energy when it is abundant and then using it when needed. TES systems can store energy for hours, days, or even months, making them versatile for various applications.

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, Liquid Temperature given Energy Discharge Rate formula is defined as a measure of the temperature of a liquid in a thermal energy storage system, which is influenced by the energy discharge rate, mass of the liquid, and the specific heat capacity of the liquid, providing a crucial parameter in solar energy applications. 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 (ql), Mass Flow Rate to Load (ml), 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 -> 319.9012 = (15250/(2.5*5000000))+300.

FAQ

What is Liquid Temperature given Energy Discharge Rate?
Liquid Temperature given Energy Discharge Rate formula is defined as a measure of the temperature of a liquid in a thermal energy storage system, which is influenced by the energy discharge rate, mass of the liquid, and the specific heat capacity of the liquid, providing a crucial parameter in solar energy applications and is represented as Tl = (ql/(ml*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 rate at which thermal energy is released from the storage system to meet the load requirements, Mass Flow Rate to Load is the rate at which thermal energy is transferred to the load from the thermal storage system during discharge, Specific Heat Capacity at Constant Pressure per K is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Kelvin & Temperature of Makeup Liquid is the temperature of the liquid used to top up the thermal storage system to maintain its thermal energy capacity.
How to calculate Liquid Temperature given Energy Discharge Rate?
Liquid Temperature given Energy Discharge Rate formula is defined as a measure of the temperature of a liquid in a thermal energy storage system, which is influenced by the energy discharge rate, mass of the liquid, and the specific heat capacity of the liquid, providing a crucial parameter in solar energy applications 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 (ql), Mass Flow Rate to Load (ml), 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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