LEY de AVOGADRO - Volumen y Número de Moles - Explicación y Ejercicios Resueltos

Understanding Avogadro's Law

Introduction to Avogadro's Law

• Avogadro's Law relates the number of moles (n) and volume in an ideal gas, stating that as the number of moles increases, so does the volume.

• The law emphasizes a direct proportionality between the number of gas particles and the volume they occupy.

Conditions Affecting Volume

• Introducing more gas particles into a container leads to an increase in volume, demonstrating Avogadro's principle under constant temperature and pressure.

• The relationship can be expressed mathematically as V_1/n_1 = V_2/n_2 , indicating that at constant temperature and pressure, volume is directly proportional to moles.

Graphical Representation

• A graph plotting volume against the number of moles shows a linear relationship; as moles increase, volume also increases.

• Conversely, fewer moles result in less volume. This illustrates how changes in particle quantity affect spatial occupation.

Practical Example with Helium Balloon

• An example involves filling a helium balloon from 2 liters with 0.097 moles. Adding 0.02 additional moles will inflate it further.

• Using Avogadro’s equation allows calculation of new balloon volume after adding more gas while maintaining constant conditions.

Calculation Steps

• To find the new volume ( V_2 ), rearranging gives V_2 = (V_1 * n_2)/n_1 .

• Substituting values results in V_2 = 2.41 text liters , confirming expected inflation due to added particles.

Effect of Doubling Moles on Volume

• If the number of moles doubles under constant conditions, we analyze its effect on final volume ( V_2 ).

Relación entre el número de moles y el volumen

Efecto del número de moles en el volumen

• El aumento en el número de moles resulta en un incremento proporcional del volumen, manteniendo constante la temperatura y presión.

• Si se duplica el número de moles, el volumen también se duplica bajo las mismas condiciones.

• Al multiplicar el número de moles por tres, se observa que el volumen también triplica su valor.

• Este patrón continúa; al multiplicar los moles por cuatro, igualmente se multiplica el volumen por cuatro.