Gavin Howe
The ideal gas law, also known as the general gas equation, describes the relationship between the pressure, temperature, and volume of a hypothetical ideal gas. It is a useful approximation for the behaviour of many gases under various conditions. The ideal gas law combines Boyle's Law, Charles' Law, Avogadro's Law, and Gay-Lussac's Law. The law is expressed as PV = nRT, where P represents pressure, V represents volume, n is the number of moles, R is the gas constant, and T is temperature. While the ideal gas law typically uses SI units, it can also be applied with other units, such as psi (pounds per square inch). When using psi, it is crucial to ensure that the temperature is in Kelvin, as the ideal gas law requires temperature to be in absolute terms.
| Characteristics | Values |
|---|---|
| Ideal Gas Law Equation | PV = nRT |
| Pressure Unit | psi, atm, Pa, or psia |
| Volume Unit | ft^3 or L |
| Number of Moles Unit | lbm-mol or mol |
| Temperature Unit | °R, K, or °C |
| Gas Constant Unit | (psia)(ft.3)/(°R)(lbm-mol) or L atm mol-1K-1, or J/(mol·K) |
| Gas Constant Value | 10.73, 0.082057, 8.31446261815324, or 8.314... |
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What You'll Learn
Pressure and temperature in psi
The ideal gas law, also called the general gas equation, is an equation of state of a hypothetical ideal gas. It is a good approximation of the behaviour of many gases under many conditions. The modern form of the equation relates pressure, volume, and temperature simply in two main forms. The ideal gas law is PV = nRT, where P is pressure, V is volume, T is temperature, and n and R are constants.
The ideal gas law can be used to calculate the properties of an ideal gas subject to pressure, temperature, or volume changes. For example, if you want to calculate the volume of 40 moles of a gas under a pressure of 1013 hPa and at a temperature of 250 K, the result will be equal to: V = nRT/p = 40 × 8.31446261815324 × 250 / 101300 = 0.82 m³.
When using the ideal gas law, it is important to note that the temperature must be in its SI units of Kelvin (K) rather than Celsius (C). The pressure can be in various units, such as pascals (Pa), atmospheres (atm), or psi. The universal value of standard temperature and pressure (STP) is 1 atm (pressure) and 0°C. This is equivalent to 14.7 psi and 273.15 K.
Gay-Lussac's law, also known as the pressure law, describes the relationship between the pressure and temperature of a gas when there is a constant amount of gas in a closed and rigid container. The law states that the absolute pressure is directly proportional to the temperature. For example, if the temperature on the Kelvin scale increases by a certain factor, the gas pressure increases by the same factor. This relationship between temperature and pressure is observed for any sample of gas confined to a constant volume.
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Converting psi to Pascal
The ideal gas law describes the behaviour of a hypothetical ideal gas. It is a combination of Boyle's Law, Charles' Law, Avogadro's Law, and Gay-Lussac's Law. The modern form of the equation relates pressure, volume, and temperature in Kelvin. The ideal gas law can be used to solve for the initial or final value of pressure or volume of a certain gas when one of the two factors is missing.
The ideal gas law is PV = nRT, where P is pressure, V is volume, T is temperature, and n and R are constants. The value of R is 8.314 J/mol·K, and it refers to the pressure measured in Pascals.
Pascals (Pa) are the SI unit for pressure, which is force per unit area. To convert Pascals to PSI (pounds per square inch), you can use the following equation:
\[
\begin{equation*}
\frac{1 kg}{m-s^2} \cdot \frac{2.2 lb_m}{1 kg} \cdot \frac{1 lb_f-s^2}{32.2 ft-lb_m} \cdot \frac{3.28 ft}{1 m} \cdot \left(\frac{1 m}{39.37 in}\right)^2 = 0.00014458 psi
\end{equation*}
\]
For example, to convert 15 Pa to psi, you would multiply 15 by 0.0001450377, which is approximately 0.0021755661 psi.
Therefore, you can use PSI in the ideal gas law by converting it to Pascals first.
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Ideal gas law and Charles' Law
The ideal gas law, also called the general gas equation, is an equation of state of a hypothetical ideal gas. It is a good approximation of the behaviour of many gases under many conditions. The ideal gas law is often written in an empirical form: PV = nRT, where P is pressure, V is volume, T is temperature, and n and R are constants. The ideal gas law is derived from the kinetic-molecular theory of gases, which describes the behaviour of an ideal gas. This theory assumes that there are no intermolecular attractions between the molecules or atoms of an ideal gas, and that its potential energy is zero. Therefore, all the energy possessed by the gas is the kinetic energy of its molecules or atoms.
Charles's Law, along with Boyle's Law and Gay-Lussac's Law, forms the basis of the ideal gas law. Charles's Law describes the directly proportional relationship between the volume and temperature (in Kelvin) of a fixed amount of gas, when the pressure is held constant. This equation can be used to solve for the initial or final value of volume or temperature under the given condition that pressure and the number of moles of the gas remain the same.
The ideal gas law is a combination of all simple gas laws, including Charles' Law. It is a versatile equation that can be used to solve for the initial or final value of pressure or volume when one of the two factors is missing. The law applies to every gas at a density low enough to prevent the emergence of strong intermolecular forces.
The ideal gas law has four parameters: the number of moles, pressure, temperature, and volume. The gas constant, R, is also called the molar or universal constant. It is used in many fundamental equations, including the ideal gas law. The value of this constant is 8.31446261815324 J/(mol·K).
The ideal gas law is expressed in terms of pressure, which can be measured in various units such as pascals, atmospheres, and psi. The choice of unit for pressure will determine the corresponding value of the gas constant, R, that should be used in the equation. For example, when using the value of R as 0.082057 L atm mol-1K-1, the unit for pressure must be atm.
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Ideal gas law and Boyle's Law
The ideal gas law, also known as the general gas equation, is a hypothetical ideal gas equation of state. It is a good approximation of the behaviour of many gases under various conditions, although it has some limitations. The ideal gas law is often written in an empirical form, and it combines the laws of Boyle, Charles, Avogadro, and Gay-Lussac.
The ideal gas law is PV = nRT, where P is pressure, V is volume, T is temperature, and n and R are constants. This equation relates pressure, temperature, and volume. The ideal gas law has four parameters: the number of moles, pressure, temperature, and volume. The number of moles is a bit outside the scope of thermodynamics. The ideal gas law can be used to find the initial or final value of pressure or volume when one of the two factors is missing.
Boyle's Law, discovered by Robert Boyle, states that the volume of a given amount of gas held at a constant temperature varies inversely with the applied pressure when the temperature and mass are constant. This means that if the volume of a gas increases, the distance the molecules must travel to strike the walls increases, and they hit the walls less often, reducing the pressure. Conversely, if the volume decreases, the molecules strike the walls more frequently, increasing the pressure.
Both the ideal gas law and Boyle's Law are used to determine the current pressure or volume of a gas, as long as the initial states and one of the changes are known. The ideal gas law is a combination of all the simple gas laws, including Boyle's Law, and so learning the ideal gas law means learning them all.
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Ideal gas law and Avogadro's Law
The ideal gas law, also called the general gas equation, is an equation of state of a hypothetical ideal gas. It is a good approximation of the behaviour of many gases under many conditions. The ideal gas law is derived from Boyle's Law, Charles' Law, Avogadro's Law, and Gay-Lussac's Law. The modern form of the equation relates pressure, volume, and temperature in two main forms. The ideal gas law can be written as PV = nRT, where P is pressure, V is volume, T is temperature, and n is the number of moles. R is the ideal gas constant, which is often defined as the product of Boltzmann's constant k and Avogadro's number. Avogadro's number is the number of atoms in a mole of substance. Avogadro's Law states that at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles present. In other words, equal volumes of gases at the same pressure and temperature contain the same number of molecules, regardless of their physical or chemical nature.
The ideal gas law is a useful tool for predicting the behaviour of gases and can be applied to every gas at a low enough density to prevent the emergence of strong intermolecular forces. It is most accurate for monatomic gases at high temperatures and low pressures, as the neglect of molecular size and intermolecular attractions becomes less important under these conditions. The ideal gas law is also useful for determining the amount of gas present in a container, as it only requires knowledge of the pressure, volume, and temperature of the gas.
Avogadro's Law is one of three primary gas laws, along with Charles' Law and Boyle's Law. These three laws combine to form the General Gas Equation and the Ideal Gas Law. Charles' Law describes the directly proportional relationship between the volume and temperature of a fixed amount of gas when pressure is held constant. Boyle's Law tells us that the volume of a gas increases as pressure decreases, and Avogadro's Law tells us that the volume of a gas increases as the amount of gas increases. These laws can be used to solve for the initial or final value of volume or temperature when the pressure and number of moles of gas remain constant.
The gas constant, R, is an important value in the ideal gas law equation and will change depending on the units of pressure and volume used. It is crucial to match the units of pressure, volume, number of moles, and temperature with the units of R to obtain the correct answer. For example, if the pressure is measured in atm and the volume in litres, the value of R should be 0.082057 L atm mol-1K-1.
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Frequently asked questions
Yes, psi can be used in the ideal gas law. P is used to represent pressure in the ideal gas law equation, and psi is a unit of pressure.
Psi stands for pounds per square inch.
To convert psi to the SI unit of pressure, pascal (Pa), remember that pressure is defined as a force acting on a surface. Thus, 1 Pa = 1 N/m^2 = 1 kg/m s^2.
The ideal gas law is an equation that relates the pressure, temperature, and volume of a gas. It is a good approximation of the behaviour of many gases under certain conditions.
The ideal gas law equation is PV = nRT, where P is pressure, V is volume, T is temperature, n is the number of moles of gas, and R is the gas constant.
