How to claculate value of universal gas constant?

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    You must do an experiment in which you measure the values of ##P V n## and ##T##.
    The is
    ##color(blue)(bar(ul(|color(white)(a/a) PV = nRTcolor(white)(a/a)|))) ##
    where
    ##P## = the pressure
    ##V## = the volume
    ##n## = the number of moles
    ##R## = the Universal Gas Constant
    ##T## = the temperature
    We can rearrange the to get
    ##R = (PV)/(nT)##
    If you do an experiment in which you measure the values of ##P V n## and ##T## you can insert these values into the equation and calculate ##R##.
    For example repeated experiments show that at standard temperature and pressure (273.15 K and 1 bar) 1 mol of gas occupies 22.711 L.
    You can use this information to evaluate ##R##.
    ##R = (PV)/(nT) = (1 bar 22.711 L)/(1 mol 273.15 K) = 0.083 145 LatmK^-1mol^-1##
    If you use strictly SI units then pressure is measured in pascals and volume is measured in cubic metres.
    ##R = (PV)/(nT) = (1.013 25 10^5 color(white)(l)Pa 22.414 10^-3color(white)(l) m^3)/1 mol 273.15 K = 8.3145 Pam^3K^-1mol^-1##
    Always make sure that you use the value of ##R## corresponding to the units that you are using for ##P## and ##V##.

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