Liquid Temperature given Useful Heat Gain Calculator

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✖Temperature of liquid from collector is the temperature increase in the fluid after absorbing incident radiation from sun.ⓘ Temperature of Liquid from Collector [T_fo]			+10% -10%
✖Useful heat gain is defined as the rate of heat transfer to the working fluid.ⓘ Useful heat gain [q_u]			+10% -10%
✖Mass Flow Rate during Charging and Discharging is defined as the amount of transfer fluid flowing through the storage device per unit time.ⓘ Mass Flow Rate during Charging and Discharging [m]			+10% -10%
✖Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%

✖Temperature of liquid in tank is the uniform temperature of the well-mixed liquid which only varies with time.ⓘ Liquid Temperature given Useful Heat Gain [T_l]

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Formula

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Liquid Temperature given Useful Heat Gain

Formula

`"T"_{"l"} = "T"_{"fo"}-("q"_{"u"}/("m"*"C"_{"p molar"}))`

Example

`"319.9934K"="320K"-("20W"/("25kg/s"*"122J/K*mol"))`

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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 uniform temperature of the well-mixed liquid which only varies with time.
Temperature of Liquid from Collector - (Measured in Kelvin) - Temperature of liquid from collector is the temperature increase in the fluid after absorbing incident radiation from sun.
Useful heat gain - (Measured in Watt) - Useful heat gain is defined as the rate of heat transfer to the working fluid.
Mass Flow Rate during Charging and Discharging - (Measured in Kilogram per Second) - Mass Flow Rate during Charging and Discharging is defined as the amount of transfer fluid flowing through the storage device per unit time.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

STEP 1: Convert Input(s) to Base Unit

Temperature of Liquid from Collector: 320 Kelvin --> 320 Kelvin No Conversion Required
Useful heat gain: 20 Watt --> 20 Watt No Conversion Required
Mass Flow Rate during Charging and Discharging: 25 Kilogram per Second --> 25 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-(20/(25*122))

Evaluating ... ...

T_l = 319.993442622951

STEP 3: Convert Result to Output's Unit

319.993442622951 Kelvin --> No Conversion Required

FINAL ANSWER

319.993442622951 ≈ 319.9934 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 Useful Heat Gain Formula

How do we get useful heat gain?

Useful heat gain is nothing but the difference between the incident (absorbed) radiation and the heat lost due to convection, re-radiation, and conduction.

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, The Liquid Temperature given Useful Heat Gain 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 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 -> 319.9934 = 320-(20/(25*122)).

FAQ

What is Liquid Temperature given Useful Heat Gain?

The Liquid Temperature given Useful Heat Gain formula is defined as the uniform temperature of the well-mixed liquid which only varies with time 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 increase in the fluid after absorbing incident radiation from sun, Useful heat gain is defined as the rate of heat transfer to the working fluid, Mass Flow Rate during Charging and Discharging is defined as the amount of transfer fluid flowing through the storage device per unit time & Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

How to calculate Liquid Temperature given Useful Heat Gain?

The Liquid Temperature given Useful Heat Gain 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 = 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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