Disponemos de datos de presión y volumen de tres situaciones de un gas ideal que se han medido manteniendo la temperatura del gas constante representa los valores de un gráfico p-v expresa matemáticamente la ley de Boyle-Mariotte y calcula el valor de la constante

Explanation:

This is an exercise in thermodynamics, the ideal gas equation is

          PV = n R T

In this case the temperature is constant, so

         n R T = cte

throughout the experiment

We can write the relationship for the three points 1, 2 and 3

         P₁ V₁ = P₂ V₂ = P₃ V₃ = cte

In the attached graph we can see a graph of this relationship

the data for this graph are

 V(m³)     P ( Pa)

  V₀          P₀

  V₀/2    2 P₀

  V₀/4    4 P₀

for the graph, let it be assumed that V₀ = 1 and P₀ = 1

To calculate the value of the constant s, you must know the moles of gas and the temperature at which the experiment is carried out, for example, if we have a mole of gas and room temperature (T = 300K), the constant is

       n R T = 1   8,314  300

       n R T = 2492.2 J

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