Answer:
Option (a) is correct.
The final volume of a gas is 112.5 mL.
Explanation:
Given : Initial volume of gas = 75 mL
And the pressure decreases from 300 kPa to 200 kPa.
We have to determine the final volume of a gas.
Using Boyle's Law:
The Volume of an ideal gas is inversely proportional to its pressure.
That is
[tex]\frac{V_1}{V_2}=\frac{P_2}{P_1}[/tex]
That is [tex]P_1\cdot V_1=P_2\cdot V_2[/tex]
Given: [tex]V_1=75[/tex] ml
[tex]P_1=300[/tex] KPa
and [tex]P_2=200[/tex] KPa
Let [tex]V_2=x[/tex] ml
Thus, [tex]300\cdot 75=200\cdot x[/tex]
Divide both side by 200, we have,
[tex]\frac{300\cdot 75}{200}= x[/tex]
Simplify, we have,
[tex]V_2=112.5[/tex] ml
Thus, The final volume of a gas is 112.5 mL.
