# Beta version#

BETA TEST VERSION OF THIS ITEM

This online calculator is currently under heavy development. It may or it may NOT work correctly.

You CAN try to use it. You CAN even get the proper results.

However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.

Feel free to send any ideas and comments !

This online calculator is currently under heavy development. It may or it may NOT work correctly.

You CAN try to use it. You CAN even get the proper results.

However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.

Feel free to send any ideas and comments !

# Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

# What do you want to calculate today?#

Choose a scenario that best fits your needs |

# Calculations data - enter values, that you know here#

Pressure (p) | <= | |

Volume (V) | => | |

Number of moles (n) | <= | |

Temperature (T) | <= |

# Units normalization#

Number of moles (n) | Show source$1\ \left[mol\right]$ | |

Temperature (T) | Show source$0\ \left[^\circ C\right]\ =\ \frac{5463}{20}\ \left[K\right]$ | |

Pressure (p) | Show source$1013.25\ \left[hPa\right]\ =\ 101325\ \left[Pa\right]$ |

# Result: Volume (V)#

Summary | ||||||||||||||||||||||||||||||||||||||

Used formula | Show source$\mathrm{V}=\frac{n \cdot R \cdot \mathrm{T}}{p}$ | |||||||||||||||||||||||||||||||||||||

Result | Show source$\frac{1821}{675500}~R$ | |||||||||||||||||||||||||||||||||||||

Numerical result | Show source$22.41396207863582531458179126572908956328645447816432272390821614\ \left[dm^3\right]$ | |||||||||||||||||||||||||||||||||||||

Result step by step | ||||||||||||||||||||||||||||||||||||||

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Numerical result step by step | ||||||||||||||||||||||||||||||||||||||

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Units normalization | ||||||||||||||||||||||||||||||||||||||

Show source$0.02241396207863582531458179126572908956328645447816432272390821614\ \left[m^3\right]\ =\ 22.41396207863582531458179126572908956328645447816432272390821614\ \left[dm^3\right]$ |

# Some facts#

- The
**perfect gas**(also known as ideal gas) is a hypothetical, simplified**model**approximating the behavior of real gases. A perfect gas is**different from the real one**, in that its**molecules do not interact with each other**. - More formally, we say that the perfect gas
**does not take intermolecular interactions into account**. - The
**ideal gas law**was first formulated in**1834**by**Benoîta Clapeyron**. For this reason, it is also known as the**Clapeyron equation**. - The ideal gas state equation is usually written in the following form:

$pV = nRT$where:

**p**- pressure in the system,

**V**- volume occupied by gas,

**n**- number of gas moles in the system,

**R**- gas constant,

**T**- absolute temperature in the system.

- The
**Clapeyron equation**was originally a**generalization**(synthesis) of the then known**empirical laws**describing in a rough way the behavior of gases:

- the
**Boyls law**- the gas pressure is inversely proportional to the volume:

$p \propto \dfrac{1}{V}$ - the
**Charles law**- the volume of gas is directly proportional to the temperature:

$V \propto T$ - the
**Avogadro law**- the volume of gas is directly proportional to the number of moles of gas in the vessel:

$V \propto n$ - the
**Gay-Lussac law**- the gas pressure is directly proportional to the temperature:

$p \propto T$

- the

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