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A balloon with a volume of 1 L is filled with a gas that has a pressure of 4 Pa. What is the new pressure of the gas if the balloon is squeezed down to a volume of .6 L​

Respuesta :

The new pressure of the gas if the balloon is squeezed down to a volume of .6 L​ is 6.66 Pa

Explanation:

Given:

[tex]V_{1}[/tex]=1L  

[tex]P_{1}[/tex]=4 Pa  

[tex]V_{2}[/tex]=0.6 L  

To find: [tex]P_{2}[/tex]

According to Boyles law, pressure and volume are inversely proportional. This relationship can be found only when the temperature and amount of gas remain constant.  

The expression is given as, [tex]\bold{P_{1} \times V_{1}=P_{2} \times V_{2}}[/tex]

Substituting the values in the equation,

Now,

4 × 1 = [tex]P_{2}[/tex]×0.6

[tex]P_{2}[/tex]=4/0.6  

= 6.66 Pa

The same expression can be used to find the change in volume when pressure is given or vice versa