No, the gas constant, or any constant, is constant meaning it doesn't change.
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"Characteristic Gas Constant"The constant 'R' used in the characteristic gas equation PV=RT , has a constant value for a particular gas and is called 'Characteristic gas constant' or 'specific gas constant' . Its value depend upon the temperature scale used and the properties of the gas, under consideration.The value of R will be.For atmospheric pressure air,R= 287 J/kg/k
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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)
The Loschmidt constant, NL is related to Avogadro's number, NA by the relationship:NL = p0*NA/(R*T0) wherep0 is the pressureT0 is the thermodynamic temperature andR is the gas constant.
PV /T = nR where n is the number of moles of gas and R is the ideal gas constant. if the amount of gas is constant, pressure and volume are inversely related (because they are multiplied) and that product is directly related to the kelvin temperature. Remove any one and the same analysis is true. Ex: if temperature is constant, remove it from the problem and you still PV, a product so pressure and volume are inversely related.