1.33L
According to Charle's law, the volume of a gas is directly proportional to temperature provided the pressure remains the same. Mathematically;
[tex]\begin{gathered} V\alpha T \\ V=kT \\ k=\frac{V_1}{T_1}=\frac{V_2}{T_2} \end{gathered}[/tex]Given the following parameters
Final volume V2 = 2.80L
Initial temperature T1 = 257.9K
Final temperature = 544.9K
Required
Initial volume V1
Substitute the given parameters
[tex]\begin{gathered} V_1=\frac{V_2T_1}{T_2} \\ V_1=\frac{2.80\times257.9}{544.9} \\ V_1=\frac{722.12}{544.9} \\ V_1=1.33L \end{gathered}[/tex]Hence the initial volume in litres is 1.33L
