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Combined Gas Law (P)

vCalc Reviewed
`P = "T" * "k" / "V" `
`(k)"Constant (J/K)"`
`(v)"Volume"`
`(T)"Temperature"`
Tags
Gas Law

The Combined Gas Law Pressure calculator computes the pressure of a gas using the combined gas law that relates the product of pressure and volume to temperature of a gas in numerous different units.

INSTRUCTIONS: Choose units and enter the following:

Gas Pressure (P): The calculator returns the pressure in pascals.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Combined Gas Law  associates the pressure, volume, temperature and a constant of a gas, based on a combination of Charles's law, Boyle's law, and Gay-Lussac's law. There is no 'official' founder for this law because it is a consolidation of the three other laws.  The combined gas law states the ratio between the pressure-volume product and the temperature of a system remains constant (k).  This constancy can be used when comparing different conditions using the same substances. The combined gas law is mathematically expressed as follows:

`(P_i V_i)/(T_i) = (P_(f) V_f)/(T_f) = k`

The Combined Gas Law calculator groups the forms of the Combined Gas Law formula in two ways as follows:

P • V / T = k 

  • Pressure based on known volume, temperature and the combined gas constant.
  • Volume based on know pressure, temperature and the combined gas constant.
  • Temperature based on known pressure, volume and the combined gas constant.
  • k gas constant based on the proportionality of the gas if you know pressure, volume and the temperature for the specific gas.

Pi • Vi/Ti = Pf • Vf/Tf

Since P•V/T = k, one can compute the initial (i) and final (f) states using the expanded version of the Combined Gas Law. The Pi • Vi/Ti = Pf • Vf/Tf tab allows the user to enter any five of the six values in the formula to compute the remaining one via the Combined Gas Law.

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