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Liquid Temperature given Useful Heat Gain Calculator

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✖Temperature of Liquid From Collector is the temperature of the liquid stored in the thermal storage system, which affects the overall efficiency of the system.ⓘ Temperature of Liquid From Collector [T_fo]			+10% -10%
✖Useful Heat Gain is the amount of heat energy stored in a thermal storage system that can be utilized for heating purposes during off-peak hours.ⓘ Useful Heat Gain [q_u]			+10% -10%
✖Mass Flow Rate during Charging and Discharging is the rate at which a substance's mass flows during the charging and discharging process of thermal storage.ⓘ Mass Flow Rate during Charging and Discharging [m]			+10% -10%
✖Molar Specific Heat Capacity at Constant Pressure is the amount of heat energy required to change the temperature of a substance by one degree Celsius.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%

✖Temperature of Liquid in Tank is the temperature of the liquid stored in a thermal energy storage tank, used to store thermal energy.ⓘ Liquid Temperature given Useful Heat Gain [T_l]

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Liquid Temperature given Useful Heat Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
T_l = T_fo-(q_u/(m*C_{p molar}))
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.
Temperature of Liquid From Collector - (Measured in Kelvin) - Temperature of Liquid From Collector is the temperature of the liquid stored in the thermal storage system, which affects the overall efficiency of the system.
Useful Heat Gain - (Measured in Watt) - Useful Heat Gain is the amount of heat energy stored in a thermal storage system that can be utilized for heating purposes during off-peak hours.
Mass Flow Rate during Charging and Discharging - (Measured in Kilogram per Second) - Mass Flow Rate during Charging and Discharging is the rate at which a substance's mass flows during the charging and discharging process of thermal storage.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure is the amount of heat energy required to change the temperature of a substance by one degree Celsius.

STEP 1: Convert Input(s) to Base Unit

Temperature of Liquid From Collector: 320 Kelvin --> 320 Kelvin No Conversion Required
Useful Heat Gain: 10.82563 Watt --> 10.82563 Watt No Conversion Required
Mass Flow Rate during Charging and Discharging: 0.004437 Kilogram per Second --> 0.004437 Kilogram per Second No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_l = T_fo-(q_u/(m*C_{p molar})) --> 320-(10.82563/(0.004437*122))

Evaluating ... ...

T_l = 300.001200781801

STEP 3: Convert Result to Output's Unit

300.001200781801 Kelvin --> No Conversion Required

FINAL ANSWER

300.001200781801 ≈ 300.0012 Kelvin <-- Temperature of Liquid in Tank

(Calculation completed in 00.004 seconds)

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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 Useful Heat Gain Formula

LaTeX Go

How do we get Useful Heat gain?

Useful heat gain refers to the amount of thermal energy that can be effectively utilized from a heat source. Here are some key methods to achieve useful heat gain:
1. Solar Collectors
2. Passive Solar Design
3. Heat Exchangers
4. Thermal Storage Systems

What does the overall Heat Transfer coefficient depend on?

The overall heat transfer coefficient, often denoted as ( U ), depends on several factors:
1. Thermal Conductivity of Materials
2. Thickness of Materials
3. Surface Area
4. Convection Heat Transfer Coefficients
5. Temperature Difference
6. Surface Conditions

How to Calculate Liquid Temperature given Useful Heat Gain?

Liquid Temperature given Useful Heat Gain calculator uses 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)) to calculate the Temperature of Liquid in Tank, Liquid Temperature given Useful Heat Gain formula is defined as the temperature of a liquid after heat gain, which is a crucial parameter in thermal energy storage systems, particularly in solar energy applications, where it affects the overall efficiency and performance of the system. Temperature of Liquid in Tank is denoted by T_l symbol.

How to calculate Liquid Temperature given Useful Heat Gain using this online calculator? To use this online calculator for Liquid Temperature given Useful Heat Gain, enter Temperature of Liquid From Collector (T_fo), Useful Heat Gain (q_u), Mass Flow Rate during Charging and Discharging (m) & Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) and hit the calculate button. Here is how the Liquid Temperature given Useful Heat Gain calculation can be explained with given input values -> 283.0529 = 320-(10.82563/(0.004437*122)).

FAQ

What is Liquid Temperature given Useful Heat Gain?

Liquid Temperature given Useful Heat Gain formula is defined as the temperature of a liquid after heat gain, which is a crucial parameter in thermal energy storage systems, particularly in solar energy applications, where it affects the overall efficiency and performance of the system and is represented as T_l = T_fo-(q_u/(m*C_{p molar})) or 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)). Temperature of Liquid From Collector is the temperature of the liquid stored in the thermal storage system, which affects the overall efficiency of the system, Useful Heat Gain is the amount of heat energy stored in a thermal storage system that can be utilized for heating purposes during off-peak hours, Mass Flow Rate during Charging and Discharging is the rate at which a substance's mass flows during the charging and discharging process of thermal storage & Molar Specific Heat Capacity at Constant Pressure is the amount of heat energy required to change the temperature of a substance by one degree Celsius.

How to calculate Liquid Temperature given Useful Heat Gain?

Liquid Temperature given Useful Heat Gain formula is defined as the temperature of a liquid after heat gain, which is a crucial parameter in thermal energy storage systems, particularly in solar energy applications, where it affects the overall efficiency and performance of the system is calculated using 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)). To calculate Liquid Temperature given Useful Heat Gain, you need Temperature of Liquid From Collector (T_fo), Useful Heat Gain (q_u), Mass Flow Rate during Charging and Discharging (m) & Molar Specific Heat Capacity at Constant Pressure (C_{p molar}). With our tool, you need to enter the respective value for Temperature of Liquid From Collector, Useful Heat Gain, Mass Flow Rate during Charging and Discharging & Molar Specific Heat Capacity at Constant Pressure 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 Temperature of Liquid From Collector, Useful Heat Gain, Mass Flow Rate during Charging and Discharging & Molar Specific Heat Capacity at Constant Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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