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By applying Charles law, the final volume of the gas is equal to 42 mL.

Given the following data:

  • Initial volume = 140 mL
  • Initial temperature = 400 K
  • Final temperature = 120 K

To find the final volume of the gas, we would apply Charles law:

Charles law states that when the pressure of an ideal gas is kept constant, the volume of the gas is indirectly proportional to the absolute temperature of the gas.

Mathematically, Charles law is given by the formula;

[tex]\frac{V}{T} =k\\\\\frac{V_1}{T_1} = \frac{V_2}{T_2}[/tex]

Where;

  • T is the temperature of an ideal gas.
  • V is the volume of an ideal gas.

Substituting the given parameters into the formula, we have;

[tex]\frac{140}{400} = \frac{V_2}{120} \\\\140 \times 120 = 400V_2\\\\16800 = 400V_2\\\\V_2 = \frac{16800}{400}[/tex]

Final volume = 42 mL.

Read more on Charles law: https://brainly.com/question/22971882

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