Respuesta :
The answer for the following problem is mentioned below.
- Therefore the final volume of the gas is 50 ml.
Explanation:
Given:
Pressure of carbon dioxide gas ([tex]P_{1}[/tex]) = 100 Kpa
Final pressure of the carbon dioxide gas ([tex]P_{2}[/tex]) = 50 Kpa
Initial volume of carbon dioxide gas ([tex]V_{1}[/tex]) = 25 ml
To find:
Final volume of the carbon dioxide gas ([tex]V_{2}[/tex])
From the ideal gas equation;
P × V = n × R × T
From the above equation,
P×V = constant
P ∝ [tex]\frac{1}{V}[/tex]
So;
[tex]\frac{P_{1} }{P_{2} } = \frac{V_{2} }{V_{1} }[/tex]
where;
[tex]P_{1}[/tex] represents the initial pressure of the gas
[tex]P_{2}[/tex] represents the final pressure of the gas
[tex]V_{1}[/tex] represents the initial volume of the gas
[tex]V_{2}[/tex] represents the final volume of the gas
Substituting the values;
[tex]\frac{100}{50}[/tex] = [tex]\frac{V_{2} }{25}[/tex]
[tex]V_{2}[/tex] = 50 ml
Therefore the final volume of the gas is 50 ml.
