Use Boyle's law
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To calculate the volume of a gas using the ideal gas law, we use the formula V = (nRT)/P, where V is the volume, n is the number of moles of gas, R is the ideal gas constant, T is the temperature in Kelvin, and P is the pressure. First, we need to convert the mass of Freon-12 to moles using its molar mass. Then, we can plug in the values for n (moles), R (0.0821 L·atm/mol·K), T (308 K), and P (0.980 atm) to find the volume in liters.
The gas constant (also known as the molar, universal, or ideal gas constant, normally indicated by the symbol R) is a physical constant which is used in many of the fundamental equations in the physical sciences, such as the ideal gas law and the Nernst equation. It is equivalent to the Boltzmann constant, but expressed in units of energy (i.e. the pressure-volume product) per kelvin per mole (rather than energy per kelvin per particle). The gas constant uses the same units as specific entropy.Its value is: : R = 8.314472(15) J · K-1 · mol-1The two digits in parentheses are the uncertainty (standard deviation) in the last two digits of the value. The gas constant occurs in the simplest equation of state, the ideal gas law, as follows: : PV = nRT = nRT / V = RT / Vmwhere: : P: is the absolute pressure : T: is absolute temperature : V: is the volume the gas occupies : n: is the amount of gas (the number of gas molecules, usually in moles) : Vm: is the molar volume
The volume fraction of a substance is equal to the mole fraction for ideal gas mixture
That depends upon the temperature, pressure, and type of gas. For more information, study the ideal gas law. One form of the ideal gas law is PV=nRT, where P=pressure, V=volume, n=number of moles of gas, R=0.08206 L-Atm-mol-1-K-1, T=temperature in degrees K. By rearranging this equation, you could calculate the number of moles of gas if you knew the volume, temperature, and pressure of the gas. Then multiply by the molecular weight of the gas to get the grams, and divide by 1000 to get kilograms.
I suppose you mean the formula for the variation in pressure. The simplest expression of this is, at a fixed temperature,and for a given mass of gas, pressure x volume = constant. This is known as Boyle's Law. If the temperature is changing, then we get two relations: 1. If the pressure is fixed, volume = constant x temperature (absolute) 2. If the volume is fixed, pressure = constant x temperature (absolute) These can be combined into the ideal gas equation Pressure x Volume = constant x Temperature (absolute), or PV = RT where R = the molar gas constant. (Absolute temperature means degrees kelvin, where zero is -273 celsius)