### Which Of These Expressions Are Correct Variations Of The Combined Gas Law?

- Marvin Harvey
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Answers – Both: T1 = T2 (P1V1/P2V2) V2 = V1(T2/T1)(P1/P2) Explanation: To answer this question, we are going to take the expressions in question as; i) T1 = T2 (P1V1/P2V2) ii) V2 = V1(T2/T1)(P1/P2) We are required to determine whether the expressions are correct variation of the Combined Gas Law.

Combined gas law puts together the Boyle’s law and the Charles’s law.According to Boyle’s law, the volume of a fixed mass of a gas is directly proportional to the absolute temperature and inversely proportional to the pressure.Therefore; V α T/P Hence; P₁V₁/T₁=P₂V₂/T₂ From the equation, we can rearrange it to get the expressions; T1 = T2 (P1V1/P2V2) V2 = V1(T2/T1)(P1/P2) Thus, both expressions are correct variations of the combined gas law.

Explanation: The combined gas law is also known as general gas law and it is the reduction of the ideal gas equation. In the combined gas law, we assume that n= 1 From PV=nRT = R (constant) if n= 1 ∴ = = The combines law of gas is: P1 * V1 P2 * V2 = T1 T2 So, you can obtain many equivalent valid forms depending on the variable that you solve for. These are some examples: Solve for T1: T1 = T2 * (P1 * V1) / (P2 * V2) Solve for V2: V2 = V1 * (T2 / T1) * (P1 / P2) Solve for P1: P1 = P2 * (T1 / T2) * ( V2 / V1)

## Which is a correct equation for the combined gas law?

Therefore, the formula of combined gas law is PV/T = K, Where P = pressure, T = temperature, V = volume, K is constant. One can adjust the formula for the combined gas law so as to compare two sets of conditions in one substance.

### What can vary in the combined gas law?

Key Takeaways: Combined Gas Law –

The combined gas law is one of the ideal gas laws.It gets its name because it combines Boyle’s law, Charles’ law, and Gay-Lussac’s law.When using this law, only pressure, volume, and temperature can change. The amount or number of moles of gas is held constant.Essentially, the law states that the ratio between pressure, volume, and absolute temperature of a gas equals some constant. So, if you change one of these variables, you can predict how the other factors are affected.

## What is an example of the combined gas law?

The combined gas law has practical applications in everyday life. It applies whenever the amount of gas remains constant, but pressure, volume, and temperature change. For example, the law predicts the behavior of cloud formation, refrigerators, and air conditioners.

#### What law is P1V1 T1 P2V2 T2?

Gay-Lussac’s Law Those three laws can be mathematically combined and expressed as: P1V1/T1 = P2V2/T2.

## What are the 4 types of gas laws?

Gas Laws: Boyle’s Law, Charle’s Law, Gay-Lussac’s Law, Avogadro’s Law.

#### What are the 2 equations for gas laws?

Charles’s law: VT = constant at constant P and n. Avogadro’s law: Vn = constant at constant P and T.

### What are the four variables combined to derive the ideal gas law equation?

Summary – The ideal gas law is derived from empirical relationships among the pressure, the volume, the temperature, and the number of moles of a gas; it can be used to calculate any of the four properties if the other three are known. Ideal gas equation : \(PV = nRT\), where \(R = 0.08206 \dfrac =8.3145 \dfrac \) General gas equation : \(\dfrac =\dfrac \) Density of a gas: \(\rho=\dfrac \) The empirical relationships among the volume, the temperature, the pressure, and the amount of a gas can be combined into the ideal gas law, PV = nRT,

The proportionality constant, R, is called the gas constant and has the value 0.08206 (L•atm)/(K•mol), 8.3145 J/(K•mol), or 1.9872 cal/(K•mol), depending on the units used. The ideal gas law describes the behavior of an ideal gas, a hypothetical substance whose behavior can be explained quantitatively by the ideal gas law and the kinetic molecular theory of gases.

Standard temperature and pressure (STP) is 0°C and 1 atm. The volume of 1 mol of an ideal gas at STP is 22.41 L, the standard molar volume, All of the empirical gas relationships are special cases of the ideal gas law in which two of the four parameters are held constant.

The ideal gas law allows us to calculate the value of the fourth quantity ( P, V, T, or n ) needed to describe a gaseous sample when the others are known and also predict the value of these quantities following a change in conditions if the original conditions (values of P, V, T, and n ) are known.

The ideal gas law can also be used to calculate the density of a gas if its molar mass is known or, conversely, the molar mass of an unknown gas sample if its density is measured.

#### What does P1V1 P2V2 mean?

Boyle’s Law (Volume and Pressure relationship) For two different sets of conditions, the above equation takes the following form: P1V1 = k = P2V2 or P1V1 = P2V2 1 Page 2 Where P1 and V1 are the initial (condition1) pressure and volume of the gas and P2 and V2 are the final (condition 2) pressure and volume of the gas.

## What does V1 T1 V2 T2 mean?

The gas laws There are three gas laws:

Boyle’s Law – for a gas at constant temperature, the volume of a gas is inversely proportional to the pressure upon it. If V1 and P1 are the initial volume and pressure, and V2 and P2 are the final volumes and pressure, then V1 x P1 = V2 x P2 Charles’ Law – the volume of a given mass of gas at constant pressure increases by 1/273 of its volume for every 1°C rise in temperature. The relationship between volume and temperature is: V1 / T1 = V2 / T2 where V1 and T1 are the initial volume and absolute temperature and V2 and T2 are the final volume and absolute temperature (the Kelvin temperature, not the Celsius temperature). In other words, the volume of a given mass of gas is directly proportional to its absolute temperature, provided that its pressure is kept constant. The Law of Pressures – the pressure of a given mass of gas is directly proportional to its absolute temperature, provided that its volume is kept constant. This is expressed mathematically as P1 / T1 = P2 / T2

The three gas laws can be combined into a single mathematical expression (general gas law):V1 x P1 = V2 x P2T1 T2

It is important to remember that these gas laws apply to all gases provided that they remain as gases over the temperature and pressure range involved. When the temperature and pressure reach levels at which the gas liquefies, the gas laws no longer apply. : The gas laws

### What is Boyle’s Law P1V1 P2V2?

Boyle’s law: For a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. so PV= constant. or P1V1=P2V2.

## How do you find P2 and V2 in Boyle’s law?

We can write the Boyle’s law equation in the following way: p₁ × V₁ = p₂ × V₂, where p₁ and V₁ are initial pressure and volume, respectively. Similarly, p₂ and V₂ are the final values of these gas parameters. We can write Boyle’s law formula in various ways depending on which parameter we want to estimate.

Let’s say we change the volume of a gas under isothermal conditions, and we want to find the resulting pressure. Then, the equation of Boyle’s law states that: p₂ = p₁ × V₁ / V₂ or p₂ / p₁ = V₁ / V₂, As we can see, the ratio of the final and initial pressure is the inverse of the ratio for volumes, This Boyle’s law calculator works in any direction you like.

Just insert any three parameters, and the fourth one will be calculated immediately! We can visualize the whole process on Boyle’s law graph. The most commonly used type is where the pressure is a volume function. For this process, the curve is a hyperbola.

#### What is V1 n1 V2 n2?

💡 Summary –

- Avogadro’s law states that the total number of atoms or molecules of any gas is directly proportional to the gaseous volume occupied at constant pressure and temperature.
- Avogardro’s equation is written as V = k ྾ n or V1/n1 = V2/n2.

## Where can I find P1 Boyle’s Law?

Boyle’s Law Calculator P1·V1 = P2·V2.

### What are the 2 equations for gas laws?

Charles’s law: VT = constant at constant P and n. Avogadro’s law: Vn = constant at constant P and T.

## Which equation represents the combined gas law quizlet?

An equation describing the behavior of a gas in terms of temperature, pressure, volume, and number of moles; expressed as PV = nRT.