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Density of First Gas by Graham's Law Calculator

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✖The Density of Second Gas is defined as mass per unit volume of second gas under specific conditions of temperature and pressure.ⓘ Density of Second Gas [d₂]			+10% -10%
✖The Rate of Effusion of First Gas is the special case of diffusion when the first gas is allowed to escape through the small hole.ⓘ Rate of Effusion of First Gas [r₁]			+10% -10%
✖The Rate of Effusion of Second Gas is the special case of diffusion when the second gas is allowed to escape through the small hole.ⓘ Rate of Effusion of Second Gas [r₂]			+10% -10%

✖The Density of First Gas is defined as mass per unit volume of first gas under specific conditions of temperature and pressure.ⓘ Density of First Gas by Graham's Law [d₁]

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Density of First Gas by Graham's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of First Gas = Density of Second Gas/((Rate of Effusion of First Gas/Rate of Effusion of Second Gas)^2)
d₁ = d₂/((r₁/r₂)^2)
This formula uses 4 Variables

Variables Used

Density of First Gas - (Measured in Kilogram per Cubic Meter) - The Density of First Gas is defined as mass per unit volume of first gas under specific conditions of temperature and pressure.
Density of Second Gas - (Measured in Kilogram per Cubic Meter) - The Density of Second Gas is defined as mass per unit volume of second gas under specific conditions of temperature and pressure.
Rate of Effusion of First Gas - (Measured in Cubic Meter per Second) - The Rate of Effusion of First Gas is the special case of diffusion when the first gas is allowed to escape through the small hole.
Rate of Effusion of Second Gas - (Measured in Cubic Meter per Second) - The Rate of Effusion of Second Gas is the special case of diffusion when the second gas is allowed to escape through the small hole.

STEP 1: Convert Input(s) to Base Unit

Density of Second Gas: 2.3 Kilogram per Cubic Meter --> 2.3 Kilogram per Cubic Meter No Conversion Required
Rate of Effusion of First Gas: 2.12 Cubic Meter per Second --> 2.12 Cubic Meter per Second No Conversion Required
Rate of Effusion of Second Gas: 0.12 Cubic Meter per Second --> 0.12 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = d₂/((r₁/r₂)^2) --> 2.3/((2.12/0.12)^2)

Evaluating ... ...

d₁ = 0.00736917052331791

STEP 3: Convert Result to Output's Unit

0.00736917052331791 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.00736917052331791 ≈ 0.007369 Kilogram per Cubic Meter <-- Density of First Gas

(Calculation completed in 00.006 seconds)

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< Graham's Law Calculators

Rate of Effusion for Second Gas by Graham's law

LaTeX Go Rate of Effusion of Second Gas = Rate of Effusion of First Gas/(sqrt(Molar Mass of Second Gas/Molar Mass of First Gas))

Rate of Effusion for First Gas by Graham's law

LaTeX Go Rate of Effusion of First Gas = (sqrt(Molar Mass of Second Gas/Molar Mass of First Gas))*Rate of Effusion of Second Gas

Molar Mass of Second Gas by Graham's law

LaTeX Go Molar Mass of Second Gas = ((Rate of Effusion of First Gas/Rate of Effusion of Second Gas)^2)*Molar Mass of First Gas

Molar Mass of First Gas by Graham's law

LaTeX Go Molar Mass of First Gas = Molar Mass of Second Gas/((Rate of Effusion of First Gas/Rate of Effusion of Second Gas)^2)

Density of First Gas by Graham's Law Formula

LaTeX Go

Density of First Gas = Density of Second Gas/((Rate of Effusion of First Gas/Rate of Effusion of Second Gas)^2)
d₁ = d₂/((r₁/r₂)^2)

What is Graham's law?

Graham's law of effusion (also called Graham's law of diffusion) was formulated by Scottish physical chemist Thomas Graham in 1848. Graham found experimentally that the rate of effusion of a gas is inversely proportional to the square root of the molar mass of its particles. Graham's law is most accurate for molecular effusion which involves the movement of one gas at a time through a hole. It is only approximate for diffusion of one gas in another or in air, as these processes involve the movement of more than one gas. In the same conditions of temperature and pressure, the molar mass is proportional to the mass density. Therefore, the rates of diffusion of different gases are inversely proportional to the square roots of their mass densities.

How to Calculate Density of First Gas by Graham's Law?

Density of First Gas by Graham's Law calculator uses Density of First Gas = Density of Second Gas/((Rate of Effusion of First Gas/Rate of Effusion of Second Gas)^2) to calculate the Density of First Gas, The Density of first gas by Graham's law formula is defined as rate of diffusion or of effusion of a gas is inversely proportional to the square root of its densities. Density of First Gas is denoted by d₁ symbol.

How to calculate Density of First Gas by Graham's Law using this online calculator? To use this online calculator for Density of First Gas by Graham's Law, enter Density of Second Gas (d₂), Rate of Effusion of First Gas (r₁) & Rate of Effusion of Second Gas (r₂) and hit the calculate button. Here is how the Density of First Gas by Graham's Law calculation can be explained with given input values -> 0.007369 = 2.3/((2.12/0.12)^2).

FAQ

What is Density of First Gas by Graham's Law?

The Density of first gas by Graham's law formula is defined as rate of diffusion or of effusion of a gas is inversely proportional to the square root of its densities and is represented as d₁ = d₂/((r₁/r₂)^2) or Density of First Gas = Density of Second Gas/((Rate of Effusion of First Gas/Rate of Effusion of Second Gas)^2). The Density of Second Gas is defined as mass per unit volume of second gas under specific conditions of temperature and pressure, The Rate of Effusion of First Gas is the special case of diffusion when the first gas is allowed to escape through the small hole & The Rate of Effusion of Second Gas is the special case of diffusion when the second gas is allowed to escape through the small hole.

How to calculate Density of First Gas by Graham's Law?

The Density of first gas by Graham's law formula is defined as rate of diffusion or of effusion of a gas is inversely proportional to the square root of its densities is calculated using Density of First Gas = Density of Second Gas/((Rate of Effusion of First Gas/Rate of Effusion of Second Gas)^2). To calculate Density of First Gas by Graham's Law, you need Density of Second Gas (d₂), Rate of Effusion of First Gas (r₁) & Rate of Effusion of Second Gas (r₂). With our tool, you need to enter the respective value for Density of Second Gas, Rate of Effusion of First Gas & Rate of Effusion of Second Gas 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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