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Liquid Temperature given Useful Heat Gain Formula

GoLiquid Temperature given Energy Discharge Rate Formula

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Temperature of liquid in tank is the uniform temperature of the well-mixed liquid which only varies with time. Check FAQs

T l = T fo - (\frac{q u}{m \cdot C p molar})

T_l - Temperature of Liquid in Tank?T_fo - Temperature of Liquid from Collector?q_u - Useful heat gain?m - Mass Flow Rate during Charging and Discharging?C_{p molar} - Molar Specific Heat Capacity at Constant Pressure?

Liquid Temperature given Useful Heat Gain Example

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Here is how the Liquid Temperature given Useful Heat Gain equation looks like with Values.

Here is how the Liquid Temperature given Useful Heat Gain equation looks like with Units.

Here is how the Liquid Temperature given Useful Heat Gain equation looks like.

319.9934 = 320 - (\frac{20}{25 \cdot 122})

319.9934K = 320K - (\frac{20W}{25kg/s \cdot 122J/K*mol})

319.9934 = 320 - (\frac{20}{25 \cdot 122})

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Liquid Temperature given Useful Heat Gain Solution

Follow our step by step solution on how to calculate Liquid Temperature given Useful Heat Gain?

FIRST Step Consider the formula

T l = T fo - (\frac{q u}{m \cdot C p molar})

Next Step Substitute values of Variables

∴

T l = 320K - (\frac{20W}{25kg/s \cdot 122J/K*mol})

Next Step Prepare to Evaluate

∴

T l = 320 - (\frac{20}{25 \cdot 122})

Next Step Evaluate

∴

T l = 319.993442622951K

LAST Step Rounding Answer

∴

T l = 319.9934K

Liquid Temperature given Useful Heat Gain Formula Elements

Variables

Temperature of Liquid in Tank

Temperature of liquid in tank is the uniform temperature of the well-mixed liquid which only varies with time.

Symbol: T_l

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Liquid in Tank

Temperature of Liquid from Collector

Temperature of liquid from collector is the temperature increase in the fluid after absorbing incident radiation from sun.

Symbol: T_fo

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Liquid from Collector

Useful heat gain

Useful heat gain is defined as the rate of heat transfer to the working fluid.

Symbol: q_u

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Useful heat gain

Mass Flow Rate during Charging and Discharging

Mass Flow Rate during Charging and Discharging is defined as the amount of transfer fluid flowing through the storage device per unit time.

Symbol: m

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate during Charging and Discharging

Molar Specific Heat Capacity at Constant Pressure

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.

Symbol: C_{p molar}

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Other Formulas to find Temperature of Liquid in Tank

Go Liquid Temperature given Energy Discharge Rate

T l = (\frac{q load}{m load \cdot C pk}) + T i

Other formulas in Thermal Energy Storage category

Go Useful heat gain in liquid storage tank

q u = m \cdot C p molar \cdot (T fo - T l)

Go Energy Discharge Rate to Load

q load = m load \cdot C p molar \cdot (T l - T i)

Go Make up Liquid Temperature given Energy Discharge Rate

T i = T l - (\frac{q load}{m load \cdot C pk})

Go Overall heat transfer coefficient in liquid storage tank

U 1 = \frac{K Insulation}{r 1 \cdot (\ln (\frac{r 2}{r 1}))}

How to Evaluate Liquid Temperature given Useful Heat Gain?

Liquid Temperature given Useful Heat Gain evaluator 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 evaluate 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 evaluate Liquid Temperature given Useful Heat Gain using this online evaluator? To use this online evaluator 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.

FAQs on Liquid Temperature given Useful Heat Gain

What is the formula to find Liquid Temperature given Useful Heat Gain?

The formula of Liquid Temperature given Useful Heat Gain is expressed as 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)). Here is an example- 319.9934 = 320-(20/(25*122)).

How to calculate Liquid Temperature given Useful Heat Gain?

With 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}) we can find Liquid Temperature given Useful Heat Gain using the formula - 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)).

What are the other ways to Calculate Temperature of Liquid in Tank?

Here are the different ways to Calculate Temperature of Liquid in Tank-

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

Can the Liquid Temperature given Useful Heat Gain be negative?

No, the Liquid Temperature given Useful Heat Gain, measured in Temperature cannot be negative.

Which unit is used to measure Liquid Temperature given Useful Heat Gain?

Liquid Temperature given Useful Heat Gain is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Liquid Temperature given Useful Heat Gain can be measured.

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Liquid Temperature given Useful Heat Gain Formula

​GoLiquid Temperature given Energy Discharge Rate Formula

Liquid Temperature given Useful Heat Gain Example

Liquid Temperature given Useful Heat Gain Solution

Liquid Temperature given Useful Heat Gain Formula Elements

Other Formulas to find Temperature of Liquid in Tank

Other formulas in Thermal Energy Storage category

How to Evaluate Liquid Temperature given Useful Heat Gain?

FAQs on Liquid Temperature given Useful Heat Gain

Variable Name

GoLiquid Temperature given Energy Discharge Rate Formula