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Considering the Charles's law, the sample of carbon dioxide gas will occupy 308.72 mL.

Charles's law

Charles's law establishes the relationship between the temperature and the volume of a gas when the pressure is constant. This law says that the volume is directly proportional to the temperature of the gas: for a given sum of gas at constant pressure, as the temperature increases, the volume of the gas increases and as the temperature decreases, the volume of the gas decreases.

Mathematically, Charles's law states that the ratio between volume and temperature will always have the same value:

[tex]\frac{V}{T} =k[/tex]

Considering an initial state 1 and a final state 2, it is fulfilled:

[tex]\frac{V1}{T1} =\frac{V2}{T2}[/tex]

Final volume in this case

In this case, you know:

  • V1= 250 mL
  • T1= 25 C= 298 K (being 0 C=273 K)
  • V2= ?
  • T2= 95 C= 368 K

Replacing in Charles's law:

[tex]\frac{250 mL}{298 K} =\frac{V2}{368 K}[/tex]

Solving:

[tex]V2=368 K\frac{250 mL}{298 K}[/tex]

V2= 308.72 mL

Finally, the sample of carbon dioxide gas will occupy 308.72 mL.

Learn more about Charles's law:

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Answer:

310mL

Explanation:

A sample of carbon dioxide gas occupies a volume of 250 mL at 25°C. What volume will it occupy at 95°C?

Use the formula:

V1

T1

=

V2

T2

Temperature conversion: __°C + 273 K