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Temperature after given time elapsed Formula

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Temperature is the degree or intensity of heat present in a substance or object. Check FAQs
T=((To-tf)⋅(exp(-h⋅A⋅tρ⋅VT⋅Co)))+tf
T - Temperature?To - Initial Temperature?tf - Fluid Temperature?h - Convection Heat Transfer Coefficient?A - Surface Area?t - Time Elapsed?ρ - Density?VT - Total Volume?Co - Specific Heat Capacity?

Temperature after given time elapsed Example

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Here is how the Temperature after given time elapsed equation looks like with Values.

Here is how the Temperature after given time elapsed equation looks like with Units.

Here is how the Temperature after given time elapsed equation looks like.

19.938Edit=((20Edit-10Edit)⋅(exp(-0.04Edit⋅18Edit⋅12Edit5.51Edit⋅63Edit⋅4Edit)))+10Edit
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Temperature after given time elapsed Solution

Follow our step by step solution on how to calculate Temperature after given time elapsed?

FIRST Step Consider the formula
T=((To-tf)⋅(exp(-h⋅A⋅tρ⋅VT⋅Co)))+tf
Next Step Substitute values of Variables
∴ T=((20K-10K)⋅(exp(-0.04W/m²*K⋅18m²⋅12s5.51kg/m³⋅63m³⋅4J/(kg*K))))+10K
Next Step Prepare to Evaluate
∴ T=((20-10)⋅(exp(-0.04⋅18⋅125.51⋅63⋅4)))+10
Next Step Evaluate
∴T=19.9379686668321K
LAST Step Rounding Answer
∴T=19.938K

Temperature after given time elapsed Formula Elements

Variables
Functions
Temperature
Temperature is the degree or intensity of heat present in a substance or object.
Symbol: T
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Formulas to find TemperatureOpen Variable
Initial Temperature
The Initial Temperature is defined as the measure of heat under initial state or conditions.
Symbol: To
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Formulas to find Initial TemperatureOpen Variable
Fluid Temperature
Fluid Temperature is the temperature of the fluid surrounding the object.
Symbol: tf
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Formulas to find Fluid TemperatureOpen Variable
Convection Heat Transfer Coefficient
Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.
Symbol: h
Measurement: Heat Transfer CoefficientUnit: W/m²*K
Note: Value should be greater than 0.
Formulas to find Convection Heat Transfer CoefficientOpen Variable
Surface Area
The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
Symbol: A
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Surface AreaOpen Variable
Time Elapsed
Time Elapsed after a particular task is started.
Symbol: t
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Formulas to find Time ElapsedOpen Variable
Density
The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Symbol: ρ
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Formulas to find DensityOpen Variable
Total Volume
Total Volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.
Symbol: VT
Measurement: VolumeUnit: m³
Note: Value should be greater than 0.
Formulas to find Total VolumeOpen Variable
Specific Heat Capacity
Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Symbol: Co
Measurement: Specific Heat CapacityUnit: J/(kg*K)
Note: Value can be positive or negative.
Formulas to find Specific Heat CapacityOpen Variable
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other formulas in Transient Heat Conduction category

​Go Instantaneous heat transfer rate
Qrate=h⋅A⋅(To-tf)⋅(exp(-h⋅A⋅tρ⋅VT⋅Co))
​Go Total Heat Transfer during Time Interval
Q=ρ⋅c⋅VT⋅(To-tf)⋅(1-(exp(-(Bi⋅Fo))))

How to Evaluate Temperature after given time elapsed?

Temperature after given time elapsed evaluator uses Temperature = ((Initial Temperature-Fluid Temperature)*(exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity))))+Fluid Temperature to evaluate the Temperature, The Temperature after given time elapsed formula calculates the temperature of the lumped body for the given time by using Temperature-Time relation. Temperature is denoted by T symbol.

How to evaluate Temperature after given time elapsed using this online evaluator? To use this online evaluator for Temperature after given time elapsed, enter Initial Temperature (To), Fluid Temperature (tf), Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (VT) & Specific Heat Capacity (Co) and hit the calculate button.

FAQs on Temperature after given time elapsed

What is the formula to find Temperature after given time elapsed?
The formula of Temperature after given time elapsed is expressed as Temperature = ((Initial Temperature-Fluid Temperature)*(exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity))))+Fluid Temperature. Here is an example- 19.93797 = ((20-10)*(exp(-(0.04*18*12)/(5.51*63*4))))+10.
How to calculate Temperature after given time elapsed?
With Initial Temperature (To), Fluid Temperature (tf), Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (VT) & Specific Heat Capacity (Co) we can find Temperature after given time elapsed using the formula - Temperature = ((Initial Temperature-Fluid Temperature)*(exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity))))+Fluid Temperature. This formula also uses Exponential Growth (exp) function(s).
Can the Temperature after given time elapsed be negative?
Yes, the Temperature after given time elapsed, measured in Temperature can be negative.
Which unit is used to measure Temperature after given time elapsed?
Temperature after given time elapsed is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature after given time elapsed can be measured.
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