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Liquid Temperature given Energy Discharge Rate Formula

GoLiquid Temperature given Useful Heat Gain Formula

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Temperature of Liquid in Tank is the temperature of the liquid stored in a thermal energy storage tank, used to store thermal energy. Check FAQs

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

T_l - Temperature of Liquid in Tank?q_l - Energy Discharge Rate to Load?m_l - Mass Flow Rate to Load?C_pk - Specific Heat Capacity at Constant Pressure Per K?T_i - Temperature of Makeup Liquid?

Liquid Temperature given Energy Discharge Rate Example

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Here is how the Liquid Temperature given Energy Discharge Rate equation looks like with Values.

Here is how the Liquid Temperature given Energy Discharge Rate equation looks like with Units.

Here is how the Liquid Temperature given Energy Discharge Rate equation looks like.

300.0012 = (\frac{15250}{2.5 \cdot 5000}) + 300

300.0012K = (\frac{15250W}{2.5kg/s \cdot 5000kJ/kg*K}) + 300K

300.0012 = (\frac{15250}{2.5 \cdot 5000}) + 300

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Liquid Temperature given Energy Discharge Rate Solution

Follow our step by step solution on how to calculate Liquid Temperature given Energy Discharge Rate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T l = (\frac{15250W}{2.5kg/s \cdot 5000kJ/kg*K}) + 300K

Next Step Convert Units

∴

T l = (\frac{15250W}{2.5kg/s \cdot 5E+6J/(kg*K)}) + 300K

Next Step Prepare to Evaluate

∴

T l = (\frac{15250}{2.5 \cdot 5E+6}) + 300

Next Step Evaluate

∴

T l = 300.00122K

LAST Step Rounding Answer

∴

T l = 300.0012K

Liquid Temperature given Energy Discharge Rate Formula Elements

Variables

Temperature of Liquid in Tank

Temperature of Liquid in Tank is the temperature of the liquid stored in a thermal energy storage tank, used to store thermal energy.

Symbol: T_l

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Liquid in Tank

Energy Discharge Rate to Load

Energy Discharge Rate to Load is the rate at which thermal energy is released from the storage system to meet the load requirements.

Symbol: q_l

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Energy Discharge Rate to Load

Mass Flow Rate to Load

Mass Flow Rate to Load is the rate at which thermal energy is transferred to the load from the thermal storage system during discharge.

Symbol: m_l

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate to Load

Specific Heat Capacity at Constant Pressure 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.

Symbol: C_pk

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value should be greater than 0.

Formulas to find Specific Heat Capacity at Constant Pressure Per K

Temperature of Makeup Liquid

Temperature of Makeup Liquid is the temperature of the liquid used to top up the thermal storage system to maintain its thermal energy capacity.

Symbol: T_i

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Makeup Liquid

Other Formulas to find Temperature of Liquid in Tank

Go Liquid Temperature given Useful Heat Gain

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

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

Go Make up Liquid Temperature given Energy Discharge Rate

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

Go Overall heat transfer coefficient in liquid storage tank

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

How to Evaluate Liquid Temperature given Energy Discharge Rate?

Liquid Temperature given Energy Discharge Rate evaluator 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 evaluate 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 T_l symbol.

How to evaluate Liquid Temperature given Energy Discharge Rate using this online evaluator? To use this online evaluator for Liquid Temperature given Energy Discharge Rate, enter Energy Discharge Rate to Load (q_l), Mass Flow Rate to Load (m_l), Specific Heat Capacity at Constant Pressure Per K (C_pk) & Temperature of Makeup Liquid (T_i) and hit the calculate button.

FAQs on Liquid Temperature given Energy Discharge Rate

What is the formula to find Liquid Temperature given Energy Discharge Rate?

The formula of Liquid Temperature given Energy Discharge Rate is expressed as 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. Here is an example- 300.0012 = (15250/(2.5*5000000))+300.

How to calculate Liquid Temperature given Energy Discharge Rate?

With Energy Discharge Rate to Load (q_l), Mass Flow Rate to Load (m_l), Specific Heat Capacity at Constant Pressure Per K (C_pk) & Temperature of Makeup Liquid (T_i) we can find Liquid Temperature given Energy Discharge Rate using the 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.

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=Temperature of Liquid From Collector-(Useful Heat Gain/(Mass Flow Rate during Charging and Discharging*Molar Specific Heat Capacity at Constant Pressure))

Can the Liquid Temperature given Energy Discharge Rate be negative?

No, the Liquid Temperature given Energy Discharge Rate, measured in Temperature cannot be negative.

Which unit is used to measure Liquid Temperature given Energy Discharge Rate?

Liquid Temperature given Energy Discharge Rate 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 Energy Discharge Rate can be measured.

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Liquid Temperature given Energy Discharge Rate Formula

​GoLiquid Temperature given Useful Heat Gain Formula

Liquid Temperature given Energy Discharge Rate Example

Liquid Temperature given Energy Discharge Rate Solution

Liquid Temperature given Energy Discharge Rate Formula Elements

Other Formulas to find Temperature of Liquid in Tank

Other formulas in Thermal Energy Storage category

How to Evaluate Liquid Temperature given Energy Discharge Rate?

FAQs on Liquid Temperature given Energy Discharge Rate

Variable Name

GoLiquid Temperature given Useful Heat Gain Formula