A sample of He gas in a flexible container at room temperature exhibits a certain pressure. What will be the new pressure when the absolute temperature and volume of the container are both halved?

Respuesta :

Answer:

The answer to this is

the new pressure will be the same as the old pressure

P₁ = P₂ the pressure will not change

Explanation:

The known variables are as follows

V₁ = initial volume

V₂ = final volume

T₁ = initial temperature

T₂ = final temperature

P₁  = initial pressure and

P₂ = final pressure

The combined as equation is [tex]\frac{P_{1} V_{1} }{T_{1} } = \frac{P_{2} V_{2} }{T_{2} }[/tex]

if the absolute temperature and volume of the container are both halved, then

V₂ = V₁/2 and T₂ = T₁/2, thus we have

[tex]\frac{P_{1} V_{1} }{T_{1} } = \frac{P_{2} \frac{V_{1} }{2} }{\frac{T_{1} }{2} }[/tex] from where we have, by canceling like terms on both sides

P₁ V₁/T₁ = P₂ V₁/T₁

or P₁ = P₂ The pressure remains the same