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

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SUMMARY

The magnitude of C in Boyle's Law (PV = C) is directly proportional to the quantity of gas enclosed. This relationship is supported by the ideal gas law, expressed as PV = NkT or PV = nRT, where N represents the number of molecules and n denotes the number of moles. Therefore, as the quantity of gas increases, the constant C also increases, confirming that the behavior of gases under constant temperature conditions adheres to this principle.

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Amith2006
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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?
 
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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.)
 
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