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A syringe containing 1.75 mL of oxygen gas is cooled from 97.8 ∘C to 0.7 ∘C. What is the final volume [tex]V_f[/tex] of the oxygen gas? (Assume that the pressure is constant.)

Answer :

Answer : The final volume of oxygen gas will be, 1.292 ml

Explanation :

Charles' Law : It is defined as the volume of gas is directly proportional to the temperature of the gas at constant pressure and number of moles.

[tex]V\propto T[/tex]

or,

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

where,

[tex]V_1[/tex] = initial volume of oxygen gas = 1.75 ml

[tex]V_2[/tex] = final volume of oxygen gas = ?

[tex]T_1[/tex] = initial temperature of gas = [tex]97.8^oC=273+97.8=370.8K[/tex]

[tex]T_2[/tex] = final temperature of gas = [tex]0.7^oC=273+0.7=273.7K[/tex]

Now put all the given values in the above formula, we get the final volume of the oxygen gas.

[tex]\frac{1.75ml}{V_2}=\frac{370.8K}{273.7K}[/tex]

[tex]V_2=1.292ml[/tex]

Therefore, the final volume of oxygen gas will be, 1.292 ml

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Rewritten by : Jeany