Temperature after given Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = Surrounding Temperature+(Surrounding Temperature-Initial Temperature)*e^(-Temperature constant*Time)
T = Ts+(Ts-Ti)*e^(-k'*time)
This formula uses 1 Constants, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Variables Used
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Surrounding Temperature - (Measured in Kelvin) - The Surrounding Temperature of a body is temperature of the surroundings body.
Initial Temperature - (Measured in Kelvin) - Initial Temperature is the measure of hotness or coldness of a system at its initial state.
Temperature constant - Temperature constant (k) is a constant of temperature.
Time - (Measured in Second) - Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.
STEP 1: Convert Input(s) to Base Unit
Surrounding Temperature: 100 Kelvin --> 100 Kelvin No Conversion Required
Initial Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Temperature constant: 4 --> No Conversion Required
Time: 2 Year --> 63113904 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = Ts+(Ts-Ti)*e^(-k'*time) --> 100+(100-305)*e^(-4*63113904)
Evaluating ... ...
T = 100
STEP 3: Convert Result to Output's Unit
100 Kelvin --> No Conversion Required
FINAL ANSWER
100 Kelvin <-- Temperature
(Calculation completed in 00.020 seconds)

Credits

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National Institute of Technology (NIT), Jamshedpur
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Temperature after given Time Formula

​LaTeX ​Go
Temperature = Surrounding Temperature+(Surrounding Temperature-Initial Temperature)*e^(-Temperature constant*Time)
T = Ts+(Ts-Ti)*e^(-k'*time)

What is Temperature?

Temperature is a physical quantity that expresses hot and cold. It is the manifestation of thermal energy, present in all matter, which is the source of the occurrence of heat, a flow of energy, when a body is in contact with another that is colder.

How to Calculate Temperature after given Time?

Temperature after given Time calculator uses Temperature = Surrounding Temperature+(Surrounding Temperature-Initial Temperature)*e^(-Temperature constant*Time) to calculate the Temperature, Temperature after given Time is the body temperature due to changes due to heat losses. Temperature is a physical quantity that expresses hot and cold. Temperature is denoted by T symbol.

How to calculate Temperature after given Time using this online calculator? To use this online calculator for Temperature after given Time, enter Surrounding Temperature (Ts), Initial Temperature (Ti), Temperature constant (k') & Time (time) and hit the calculate button. Here is how the Temperature after given Time calculation can be explained with given input values -> 100 = 100+(100-305)*e^(-4*63113904).

FAQ

What is Temperature after given Time?
Temperature after given Time is the body temperature due to changes due to heat losses. Temperature is a physical quantity that expresses hot and cold and is represented as T = Ts+(Ts-Ti)*e^(-k'*time) or Temperature = Surrounding Temperature+(Surrounding Temperature-Initial Temperature)*e^(-Temperature constant*Time). The Surrounding Temperature of a body is temperature of the surroundings body, Initial Temperature is the measure of hotness or coldness of a system at its initial state, Temperature constant (k) is a constant of temperature & Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.
How to calculate Temperature after given Time?
Temperature after given Time is the body temperature due to changes due to heat losses. Temperature is a physical quantity that expresses hot and cold is calculated using Temperature = Surrounding Temperature+(Surrounding Temperature-Initial Temperature)*e^(-Temperature constant*Time). To calculate Temperature after given Time, you need Surrounding Temperature (Ts), Initial Temperature (Ti), Temperature constant (k') & Time (time). With our tool, you need to enter the respective value for Surrounding Temperature, Initial Temperature, Temperature constant & Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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