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Work required for Isothermal Compression Formula

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Work for Isothermal Compression Process is work done on the system to decrease the volume and increase the pressure. Check FAQs

W iso = 2.3 \cdot (m \cdot R \cdot T in) \cdot \log 10 (\frac{P 2}{P 1})

W_iso - Work for Isothermal Compression Process?m - Mass for Compression?R - Specific Gas Constant?T_in - Input Temperature?P₂ - Pressure 2?P₁ - Pressure 1?

Work required for Isothermal Compression Example

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Here is how the Work required for Isothermal Compression equation looks like with Values.

Here is how the Work required for Isothermal Compression equation looks like with Units.

Here is how the Work required for Isothermal Compression equation looks like.

16.8987 = 2.3 \cdot (2 \cdot 0.055 \cdot 210) \cdot \log 10 (\frac{5200}{2500})

16.8987J = 2.3 \cdot (2kg \cdot 0.055J/(kg*K) \cdot 210K) \cdot \log 10 (\frac{5200Pa}{2500Pa})

16.8987 = 2.3 \cdot (2 \cdot 0.055 \cdot 210) \cdot \log 10 (\frac{5200}{2500})

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Work required for Isothermal Compression Solution

Follow our step by step solution on how to calculate Work required for Isothermal Compression?

FIRST Step Consider the formula

W iso = 2.3 \cdot (m \cdot R \cdot T in) \cdot \log 10 (\frac{P 2}{P 1})

Next Step Substitute values of Variables

∴

W iso = 2.3 \cdot (2kg \cdot 0.055J/(kg*K) \cdot 210K) \cdot \log 10 (\frac{5200Pa}{2500Pa})

Next Step Prepare to Evaluate

∴

W iso = 2.3 \cdot (2 \cdot 0.055 \cdot 210) \cdot \log 10 (\frac{5200}{2500})

Next Step Evaluate

∴

W iso = 16.8987049865715J

LAST Step Rounding Answer

∴

W iso = 16.8987J

Work required for Isothermal Compression Formula Elements

Variables

Functions

Work for Isothermal Compression Process

Work for Isothermal Compression Process is work done on the system to decrease the volume and increase the pressure.

Symbol: W_iso

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Work for Isothermal Compression Process

Mass for Compression

Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass for Compression

Specific Gas Constant

The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.

Symbol: R

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

Note: Value should be greater than 0.

Formulas to find Specific Gas Constant

Input Temperature

Input Temperature is the degree or intensity of heat present in the system.

Symbol: T_in

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Input Temperature

Pressure 2

Pressure 2 is the pressure at give point 2.

Symbol: P₂

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure 2

Pressure 1

Pressure 1 is the pressure at give point 1.

Symbol: P₁

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure 1

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other formulas in Work Required category

Go Work required for Polytropic Compression

W poly = ((\frac{n c}{n c - 1}) \cdot (m \cdot R \cdot T in) \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} - 1))

Go Nominal HP of Driving Motor

P = \frac{2 \cdot π \cdot N \cdot T r}{4500}

How to Evaluate Work required for Isothermal Compression?

Work required for Isothermal Compression evaluator uses Work for Isothermal Compression Process = 2.3*(Mass for Compression*Specific Gas Constant*Input Temperature)*log10(Pressure 2/Pressure 1) to evaluate the Work for Isothermal Compression Process, Work required for Isothermal Compression of a gas is to decrease the volume and increase the pressure. Work for Isothermal Compression Process is denoted by W_iso symbol.

How to evaluate Work required for Isothermal Compression using this online evaluator? To use this online evaluator for Work required for Isothermal Compression, enter Mass for Compression (m), Specific Gas Constant (R), Input Temperature (T_in), Pressure 2 (P₂) & Pressure 1 (P₁) and hit the calculate button.

FAQs on Work required for Isothermal Compression

What is the formula to find Work required for Isothermal Compression?

The formula of Work required for Isothermal Compression is expressed as Work for Isothermal Compression Process = 2.3*(Mass for Compression*Specific Gas Constant*Input Temperature)*log10(Pressure 2/Pressure 1). Here is an example- 87873.27 = 2.3*(2*0.055*210)*log10(5200/2500).

How to calculate Work required for Isothermal Compression?

With Mass for Compression (m), Specific Gas Constant (R), Input Temperature (T_in), Pressure 2 (P₂) & Pressure 1 (P₁) we can find Work required for Isothermal Compression using the formula - Work for Isothermal Compression Process = 2.3*(Mass for Compression*Specific Gas Constant*Input Temperature)*log10(Pressure 2/Pressure 1). This formula also uses Common Logarithm (log10) function(s).

Can the Work required for Isothermal Compression be negative?

No, the Work required for Isothermal Compression, measured in Energy cannot be negative.

Which unit is used to measure Work required for Isothermal Compression?

Work required for Isothermal Compression is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Work required for Isothermal Compression can be measured.

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Work required for Isothermal Compression Formula

Work required for Isothermal Compression Example

Work required for Isothermal Compression Solution

Work required for Isothermal Compression Formula Elements

Other formulas in Work Required category

How to Evaluate Work required for Isothermal Compression?

FAQs on Work required for Isothermal Compression

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