Respuesta :
Answer:
The final volume of the gas is 112.5 mL.
Explanation:
It is given that,
Initial volume of the gas, [tex]V_1=75\ mL[/tex]
Initial pressure, [tex]P_1=300\ kPa[/tex]
Final pressure, [tex]P_2=200\ kPa[/tex]
We need to find the final volume of the gas. It can be calculated using the Boyle's law as :
p v = constant
or
[tex]\dfrac{P_1}{P_2}=\dfrac{V_2}{V_1}[/tex], V₂ is the final volume of the gas
[tex]V_2=\dfrac{P_1}{P_2}\times V_1[/tex]
[tex]V_2=\dfrac{300\ kPa}{200\ kPa}\times 75\ mL[/tex]
[tex]V_2=112.5\ mL[/tex]
So, the final volume of the gas is 112.5 mL. Hence, this is the required solution.
