Respuesta :

Hey there!

Pi = initial pressure of gas  = 0.579 atm

Pf = final pressure  of gas = 1.00 atm

Vi = initial volume of gas =  150 L

Therefore:

Pi * Vi = Pf * Vf

( 0.579 ) * ( 150 ) = 1.00 * Vf =

86.85 = 1.00 * Vf

Vf = 86.85 / 1.00

Vf = 86.85 L

Hope this helps!

znk

Answer:

[tex]\large \boxed{\text{86.8 L}}[/tex]

Explanation:

The temperature and amount of gas are constant, so we can use Boyle’s Law.

[tex]p_{1}V_{1} = p_{2}V_{2}[/tex]

Data:

[tex]\begin{array}{rccrcc}p_{1}& =& \text{0.579 atm}\qquad & V_{1} &= & \text{150 L} \\p_{2}& =& \text{1.00 atm}\qquad & V_{2} &= & ?\\\end{array}[/tex]

Calculations:  

[tex]\begin{array}{rcl}0.579 \times 150 & =& 1.00V_{2}\\86.85 & = & 1.00V_{2}\\V_{2} & = &\dfrac{86.85}{1.00}\\\\& = &\textbf{86.8}\\\end{array}\\\text{The new volume of the gas is } \large \boxed{\textbf{86.8 L}}[/tex]