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Time Constant for Mercury in Glass Thermometer Formula

GoTime Constant for Mixing Process Formula

GoTime Constant for Heating Process Formula

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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. Check FAQs

𝜏 = (\frac{M \cdot c}{h \cdot A})

𝜏 - Time Constant?M - Mass?c - Specific Heat?h - Heat Transfer Coefficient?A - Area?

Time Constant for Mercury in Glass Thermometer Example

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Here is how the Time Constant for Mercury in Glass Thermometer equation looks like with Values.

Here is how the Time Constant for Mercury in Glass Thermometer equation looks like with Units.

Here is how the Time Constant for Mercury in Glass Thermometer equation looks like.

6.4455 = (\frac{35.45 \cdot 120}{13.2 \cdot 50})

6.4455s = (\frac{35.45kg \cdot 120J/(kg*K)}{13.2W/m²*K \cdot 50m²})

6.4455 = (\frac{35.45 \cdot 120}{13.2 \cdot 50})

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Time Constant for Mercury in Glass Thermometer Solution

Follow our step by step solution on how to calculate Time Constant for Mercury in Glass Thermometer?

FIRST Step Consider the formula

𝜏 = (\frac{M \cdot c}{h \cdot A})

Next Step Substitute values of Variables

∴

𝜏 = (\frac{35.45kg \cdot 120J/(kg*K)}{13.2W/m²*K \cdot 50m²})

Next Step Prepare to Evaluate

∴

𝜏 = (\frac{35.45 \cdot 120}{13.2 \cdot 50})

Next Step Evaluate

∴

𝜏 = 6.44545454545455s

LAST Step Rounding Answer

∴

𝜏 = 6.4455s

Time Constant for Mercury in Glass Thermometer Formula Elements

Variables

Time Constant

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.

Symbol: 𝜏

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Constant

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Specific Heat

The Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Symbol: c

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific Heat

Heat Transfer Coefficient

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.

Symbol: h

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Heat Transfer Coefficient

Area

area is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Other Formulas to find Time Constant

Go Time Constant for Mixing Process

𝜏 = (\frac{V}{v o})

Go Time Constant for Heating Process

𝜏 = \frac{ρ \cdot V}{ṁ}

Other formulas in Process Dynamics and Control category

Go Transportation Lag

τ = (\frac{∨ 1}{V Flow})

Go Time Period of Oscillations using Time Constant and Damping Factor

T = \frac{2 \cdot π \cdot 𝜏}{\sqrt{1 - ({(ζ)}^{2})}}

How to Evaluate Time Constant for Mercury in Glass Thermometer?

Time Constant for Mercury in Glass Thermometer evaluator uses Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area)) to evaluate 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 evaluate Time Constant for Mercury in Glass Thermometer using this online evaluator? To use this online evaluator 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.

FAQs on Time Constant for Mercury in Glass Thermometer

What is the formula to find Time Constant for Mercury in Glass Thermometer?

The formula of Time Constant for Mercury in Glass Thermometer is expressed as Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area)). Here is an example- 6.445455 = ((35.45*120)/(13.2*50)).

How to calculate Time Constant for Mercury in Glass Thermometer?

With Mass (M), Specific Heat (c), Heat Transfer Coefficient (h) & Area (A) we can find Time Constant for Mercury in Glass Thermometer using the formula - Time Constant = ((Mass*Specific Heat)/(Heat Transfer Coefficient*Area)).

What are the other ways to Calculate Time Constant?

Here are the different ways to Calculate Time Constant-

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

Can the Time Constant for Mercury in Glass Thermometer be negative?

No, the Time Constant for Mercury in Glass Thermometer, measured in Time cannot be negative.

Which unit is used to measure Time Constant for Mercury in Glass Thermometer?

Time Constant for Mercury in Glass Thermometer is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Constant for Mercury in Glass Thermometer can be measured.

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Time Constant for Mercury in Glass Thermometer Formula

​GoTime Constant for Mixing Process Formula

​GoTime Constant for Heating Process Formula

Time Constant for Mercury in Glass Thermometer Example

Time Constant for Mercury in Glass Thermometer Solution

Time Constant for Mercury in Glass Thermometer Formula Elements

Other Formulas to find Time Constant

Other formulas in Process Dynamics and Control category

How to Evaluate Time Constant for Mercury in Glass Thermometer?

FAQs on Time Constant for Mercury in Glass Thermometer

Variable Name

GoTime Constant for Mixing Process Formula

GoTime Constant for Heating Process Formula