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Change the answer mode for this tool by selecting P_{1} gas pressure, V_{1} gas volume, T_{1} gas temperature, P_{2} gas pressure, V_{2} gas volume or T_{2} gas temperature as the parameter to calculate instead

## Related Tools

- Ideal gas law calculator
- Boyle’s law calculator
- Charles’ law calculator
- Avogadro’s law calculator
- Gay-Lussac’s law calculator
- Pressure units conversion
- Volume units conversion
- Temperature units conversion

## User Guide

This tool will calculate any parameter from the equation for the combined gas law P₁V₁/T₁=P₂V₂/T₂ which is derived by combining Boyle’s, Charles’ and Gay-Lussac’s law, and includes P_{1} gas pressure, V_{1} gas volume, T_{1} gas temperature, P_{2} gas pressure, V_{2} gas volume and T_{2} gas temperature.

The combined gas law explains that for an ideal gas, the absolute pressure multiplied by the volume of the gas is directly proportional to the gas temperature, if the amount of gas remains constant.

### Formulas

The combined gas law is explained with math in the following ways.

The pressure multiplied by the volume of an ideal gas is proportional to its temperature:

P · V ∝ T

The pressure multiplied with the volume, and divided by the temperature of an ideal gas in a given state, equals a constant value:

P · V / T = Constant

The multiplying together of the pressure and volume, and dividing by the temperature of an ideal gas in one state, equals the multiplying of the pressure and volume, and dividing by the temperature an ideal gas in another state, as long as the quantity of gas does not change between the two states.

P_{1} · V_{1} / T_{1 }= P_{2} · V_{2} / T_{2}

The formulas used by this combine gas law calculator to determine each individual parameter are:

P_{1} = P_{2} · V_{2 }· T_{1} / (V_{1 }· T_{2})

V_{1} = P_{2} · V_{2 }· T_{1} / (P_{1 }· T_{2})

T_{1} = P_{1} · V_{1 }· T_{2} / (P_{2 }· V_{2})

P_{2} = P_{1} · V_{1 }· T_{2} / (V_{2 }· T_{1})

V_{2} = P_{1} · V_{1 }· T_{2} / (P_{2 }· T_{1})

T_{2} = P_{2} · V_{2 }· T_{1} / (P_{1 }· V_{1})

#### Symbols

- P
_{1}= Pressure of the first gas state - V
_{1}= Volume of the first gas state - T
_{1}= Temperature of the first gas state - P
_{2}= Pressure of the second gas state - V
_{2}= Volume of the second gas state - T
_{2}= Temperature of the second gas state

### P_{1}

This is the absolute pressure of the first gas state.

### V_{1}

This is the total volume occupied by the first gas state.

### T_{1}

This is the temperature of the first gas state.

### P_{2}

This is the absolute pressure of the second gas state.

### V_{2}

This is the total volume occupied by the second gas state.

### T_{2}

This is the temperature of the second gas state.