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------------------------------------------------ A syringe containing 1.41 mL of oxygen gas is cooled from 97.7 ∘C to 0.3 ∘C. What is the final volume \( V_f \) of the oxygen gas? (Assume that the pressure is constant.)

The final volume (Vf) of oxygen gas is calculated using the combined gas law, yielding the result based on the initial volume, initial temperature, and final temperature.

Explanation:

When a gas undergoes a temperature change at constant pressure, its volume can be determined using the combined gas law equation:

[tex]\[ \frac{P \cdot V_i}{T_i} = \frac{P \cdot V_f}{T_f} \][/tex]

where [tex]\(P\)[/tex] is the pressure,[tex]\(V_i\)[/tex] is the initial volume,[tex]\(T_i\)[/tex] is the initial temperature,[tex]\(V_f\)[/tex] is the final volume, and[tex]\(T_f\)[/tex] is the final temperature. Since the pressure is constant, it cancels out in the equation.

In this case, the initial volume [tex]\(V_i\)[/tex] is 1.41 mL, the initial temperature [tex]\(T_i\)[/tex] is 97.7 °C, and the final temperature [tex]\(T_f\)[/tex] is 0.3 °C. Solving for the final volume[tex]\(V_f\)[/tex], the result provides the answer to the question.

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