why does the ideal gas law matter for the distribution of heat course hero

What does the ideal gas law relate to?

The ideal gas law relates the pressure and volume of a gas to the number of gas molecules and the temperature of the gas. The ideal gas law can be written in terms of the number of molecules of gas: PV = NkT , where P is pressure, V is volume, T is temperature, N is number of molecules, and k is the Boltzmann constant k = 1.38 × 10 –23 J/K.

Why do we treat gases as ideal gases?

The pressure, , volume , and temperature of an ideal gas are related by a simple formula called the ideal gas law. The simplicity of this relationship is a big reason why we typically treat gases as ideal, unless there is a good reason to do otherwise.

What is the formula for the behavior of an ideal gas?

The behavior of an ideal gas, that is, the relationship of pressure (P), volume (V), and temperature (T), can be summarized in the ideal gas law: where n is the number of moles of gas, and R = 8.31 J / (mol K) is known as the universal gas constant.

What is the value of K in ideal gas law?

The ideal gas law states that PV = NkT , where P is the absolute pressure of a gas, V is the volume it occupies, N is the number of atoms and molecules in the gas, and T is its absolute temperature. The constant k is called the Boltzmann constant in honor of Austrian physicist Ludwig Boltzmann (1844–1906) and has the value k = 1.38 × 10 −23 J/K.

Why is the ideal gas law important?

The ideal gas law is the final and most useful expression of the gas laws because it ties the amount of a gas (moles) to its pressure, volume and temperature. The ideal gas law is a critical tool used in chemical and engineering calculations involving gases.

What is the ideal gas law used for in real life?

Ideal gas laws are used for the working of airbags in vehicles. When airbags are deployed, they are quickly filled with different gases that inflate them. The airbags are filled with nitrogen gases as they inflate. Through a reaction with a substance known as sodium azide, the nitrogen gas is produced.

What does the ideal gas law describe?

The Ideal Gas Law describes the relation between pressure and volume in an ideal gas: [6.1.3] where P is the pressure measured in atmospheres or mmHg or Pa (=N m−2), or some other appropriate unit, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in kelvin.

Which law relates to the ideal gas law?

The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases. An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

Why is the ideal gas law useful to modern technicians?

For high-precision work, more complicated equations of state have been developed for particular gases, especially for working at high pressures, but the ideal gas law provides an easy way to make good estimates for any gas with relatively small errors in most cases.

Is it important to know combined and ideal gas law and its application?

The Combined Gas Law is useful when: Given two pressures, volumes, or temperatures and asked for an unknown pressure, volume, or temp. Whenever it gives you conditions for one gas, and asks for conditions of another gas, you're most likely going to use this Law.

What is the ideal gas law quizlet?

the ideals gas law relates the. number of particles (moles) to pressure, temperature and volume. Avogadro's Principle states that. equal volumes of gases at the same temperature and pressure contain equal numbers of particles.

Where does the ideal gas law come from?

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.

What is most likely true about the variables in the ideal gas law?

What is most likely true about the variables in the ideal gas law? V has the units of liters, and T has the units of kelvin. Which statement would be the most useful for deriving the ideal gas law? Volume is directly proportional to the number of moles.

What is ideal gas?

The term ideal gas refers to a hypothetical gas composed of molecules which follow a few rules: Ideal gas molecules do not attract or repel each other. The only interaction between ideal gas molecules would be an elastic collision upon impact with each other or an elastic collision with the walls of the container.

Why is ideal gas an approximation?

Since it's hard to exactly describe a real gas, people created the concept of an Ideal gas as an approximation that helps us model and predict the behavior of real gases.

What happens to the quantity of a gas if the pressure, volume and temperature are the same?

molecules) of a gas remains the same, the quantity is constant for a gas regardless of the process through which the gas is taken.

What units do you plug in when using gas constants?

If you use the gas constant then you must plug in the pressure in units of , volume in units of , and temperature in units of .

How are temperature, pressure, and volume related?

The pressure, , volume , and temperature of an ideal gas are related by a simple formula called the ideal gas law. The simplicity of this relationship is a big reason why we typically treat gases as ideal, unless there is a good reason to do otherwise. Where is the pressure of the gas, is the volume taken up by the gas, ...

What temperature does a gas canister start at?

A gas in a sealed rigid canister starts at room temperature and atmospheric pressure. The canister is then placed in an ice bath and allowed to cool to a temperature of .

What is the formula for Avogadro's law?

Avogadro's law. 1 mol = 6.02 x 10^23. 1 mol = 22.4 L. 1 mol = molar mass in grams. Avogadro's law is mostly used for converting from one unit to another so the constant will depend on what you are converting. What it does require is that you use the correct unit of measurement.

What is Ideal Gas Law?

The ideal gas law, also known as the general gas equation is an equation of state of a hypothetical ideal gas. Although the ideal gas law has several limitations, it is a good approximation of the behaviour of many gases under many conditions. The ideal gas law was stated by Benoit Paul Émile Clapeyron in 1834 as a combination of the empirical Charles’s law, Boyle’s Law, Avogadro’s law, and Gay-Lussac’s law.

What is the gas constant R?

When we use the gas constant R = 8.31 J/K.mol, then we have to plug in the pressure P in the units of pascals Pa, volume in the units of m 3 and the temperature T in the units of kelvin K.

What happens when a molecule gets colder?

This is the coldest temperature possible. As a molecule gets colder, it’s energy and consequently, its movement and vibrations decrease in amplitude. As we keep cooling it, at a point the atom will reach a state of minimum internal energy where the atom has lost almost all its energy and is stationary.

Does the ideal gas law apply to liquids?

No, the ideal gas law doesn’t apply to liquids.

Is volume proportional to temperature?

The above equation shows that volume is proportional to the number moles and the temperature while inversely proportional to the pressure.

Does the ideal gas law work?

The ideal gas only holds true when the conditions at consideration are ideal. Under high pressure and low temperature, the molecular size and the intermolecular forces become important to be considered and are no longer negligible, so essentially the ideal gas law won’t work.