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Time Constant for Mercury in Glass Thermometer Calculator

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✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%
✖The Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.ⓘ Specific Heat [c]			+10% -10%
✖The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.ⓘ Heat Transfer Coefficient [h]			+10% -10%
✖area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%

✖Time Constant (𝜏) is the time required by the response to reach 63.2% of its ultimate value. If 𝜏 is high that means system will response fast.ⓘ Time Constant for Mercury in Glass Thermometer [𝜏]

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Time Constant for Mercury in Glass Thermometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area))
𝜏 = ((M*c)/(h*A))
This formula uses 5 Variables

Variables Used

Time Constant - (Measured in Second) - Time Constant (𝜏) is the time required by the response to reach 63.2% of its ultimate value. If 𝜏 is high that means system will response fast.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Specific Heat - (Measured in Joule per Kilogram per K) - The Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.
Area - (Measured in Square Meter) - area is the amount of two-dimensional space taken up by an object.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Specific Heat: 120 Joule per Kilogram per K --> 120 Joule per Kilogram per K No Conversion Required
Heat Transfer Coefficient: 13.2 Watt per Square Meter per Kelvin --> 13.2 Watt per Square Meter per Kelvin No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = ((M*c)/(h*A)) --> ((35.45*120)/(13.2*50))

Evaluating ... ...

𝜏 = 6.44545454545455

STEP 3: Convert Result to Output's Unit

6.44545454545455 Second --> No Conversion Required

FINAL ANSWER

6.44545454545455 ≈ 6.445455 Second <-- Time Constant

(Calculation completed in 00.004 seconds)

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Time Constant for Mercury in Glass Thermometer Formula

LaTeX Go

Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area))
𝜏 = ((M*c)/(h*A))

What is Time Constant?

Time constant means how fast the system reaches the final value. As smaller the time constant, as faster is the system response. If time constant is larger, system goes to move slow.
The time constant for a first order system can be defined as the time it takes for the step response to rise up to 63% or 0.63 of its final value. The reciprocal of time constant, is 1/seconds or frequency.

What is Process Dynamics and Control?

Process Dynamics is concerned with analyzing the dynamic (i.e., time dependent) behavior of a process in response to various types of inputs. In other words, it is the behavior of a process as time progresses.

How to Calculate Time Constant for Mercury in Glass Thermometer?

Time Constant for Mercury in Glass Thermometer calculator uses Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area)) to calculate the Time Constant, The Time Constant for Mercury in Glass Thermometer formula means how fast the system attains the final value. As smaller the time constant, as faster is the response of the system. Time Constant is denoted by 𝜏 symbol.

How to calculate Time Constant for Mercury in Glass Thermometer using this online calculator? To use this online calculator for Time Constant for Mercury in Glass Thermometer, enter Mass (M), Specific Heat (c), Heat Transfer Coefficient (h) & Area (A) and hit the calculate button. Here is how the Time Constant for Mercury in Glass Thermometer calculation can be explained with given input values -> 6.445455 = ((35.45*120)/(13.2*50)).

FAQ

What is Time Constant for Mercury in Glass Thermometer?

The Time Constant for Mercury in Glass Thermometer formula means how fast the system attains the final value. As smaller the time constant, as faster is the response of the system and is represented as 𝜏 = ((M*c)/(h*A)) or Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area)). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, The Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius, The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place & area is the amount of two-dimensional space taken up by an object.

How to calculate Time Constant for Mercury in Glass Thermometer?

The Time Constant for Mercury in Glass Thermometer formula means how fast the system attains the final value. As smaller the time constant, as faster is the response of the system is calculated using Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area)). To calculate Time Constant for Mercury in Glass Thermometer, you need Mass (M), Specific Heat (c), Heat Transfer Coefficient (h) & Area (A). With our tool, you need to enter the respective value for Mass, Specific Heat, Heat Transfer Coefficient & Area 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 Time Constant?

In this formula, Time Constant uses Mass, Specific Heat, Heat Transfer Coefficient & Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

Time Constant = (Volume/Volumetric Flow Rate of Feed to Reactor)
Time Constant = (Density*Volume)/(Mass Flow Rate)

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