Does the magnitude of C in Boyle's Law depend on the quantity of gas enclosed?

[Amith2006]

1) According to Boyle’s law,
PV = C (At constant temperature)

Where C is the constant of proportionality. Is it true that the magnitude of C depends upon the quantity of gas enclosed?

 

[dav2008]

Yes.

If you look at the ideal gas law, PV=NkT where T is temperature in Kelvin, k is the Boltzmann constant, and N is the number of molecules you will see that C in your example is directly proportional to the number of molecules. From that relationship you can also see why Boyle's Law works when temperature is constant.

(Alternatively you can write the ideal gas law as PV=nRT where n is the number of moles and R is the ideal gas law constant.)