Everybody enjoys the smell and also taste that freshly-baked bread. The is light and fluffy as a an outcome of the action of yeast on sugar. The yeast converts the street to carbon dioxide, which in ~ high temperatures reasons the dough come expand. The end result is an enjoyable treat, particularly when extended with melted butter.

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## Charles"s Law

French physicist Jacques Charles (1746-1823) learned the result of temperature ~ above the volume the a gas at continuous pressure. **Charles"s Law** states that the volume the a offered mass of gas varies straight with the absolute temperature of the gas once pressure is maintained constant. The absolute temperature is temperature measured v the Kelvin scale. The Kelvin scale need to be used due to the fact that zero ~ above the Kelvin scale synchronizes to a complete stopof molecular motion.

Mathematically, the direct relationship the Charles"s Law can be represented by the adhering to equation:

\<\fracVT = k\>

As with Boyle"s Law, \(k\) is constant only because that a given gas sample. The table below shows temperature and volume data for a collection amount of gas in ~ a continuous pressure. The 3rd column is the constant for this particular data collection and is constantly equal come the volume separated by the Kelvin temperature.

**Temperature \(\left( \textK \right)\)**

**Volume \(\left( \textmL \right)\)**

**\(\fracVT = k\) \(\left( \frac\textmL\textK \right)\)**Table \(\PageIndex1\): Temperature-Volume Data

50 | 20 | 0.40 |

100 | 40 | 0.40 |

150 | 60 | 0.40 |

200 | 80 | 0.40 |

300 | 120 | 0.40 |

500 | 200 | 0.40 |

1000 | 400 | 0.40 |

When this data is graphed, the an outcome is a straight line, indicative the a direct relationship, shown in the number below.

Given:

Given:*T*1 = -27oC and *V*1 = 34.8 L

V2 = 25.0 L

Find: T2 = ? K

List other well-known quantities.K = -27oC + 273

Plan the problem.

1. Convert the initial temperature come Kelvin

2. Rearrange the equation algebraically to resolve for \(T_2\).

\

Cancel units and also calculate.

1. −67°C + 273 = 206 K

2. Instead of the known quantities into the equation and solve.

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