Respuesta :
Answer:
[tex]\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}[/tex]
Explanation:
The equation of state (combined gas law) for an ideal gas states that
[tex]pV=nRT[/tex]
where
p is the gas pressure
V is the volume of the gas
n is the number of moles of the gas
R is the gas constant
T is the absolute temperature of the gas
The equation can be rewritten as
[tex]\frac{pV}{T}=nR[/tex]
For an ideal gas that undergoes a transformation, if the amount of gas remains the same, the term on the right of the equation remains constant. This means that the ratio
[tex]\frac{pV}{T}[/tex]
for the gas remains constant, and therefore we can rewrite the equation as
[tex]\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}[/tex]
where 1 indicates the initial conditions of the gas while 2 indicates the conditions of the gas after the transformation.