Answer:
1548.5cubic centimeters.
Explanations:
According to Charles law, the volume of a given mass is directly proportional to the temperature provided that the pressure is constant. Mathematically;
[tex]\begin{gathered} V\alpha T \\ V=kT \\ k=\frac{V_1}{T_1}=\frac{V_2}{T_2} \end{gathered}[/tex]
where
V1 and V2 are the volumes
T1 and T2 are the temperatures
Given the following parameters
[tex]\begin{gathered} V_1=579cm^3 \\ T_1=215K \\ T_2=575K \end{gathered}[/tex]
Required
New volume V2
Substitute
[tex]\begin{gathered} V_2=\frac{V_1T_2}{T_1} \\ V_2=\frac{579\times575}{215} \\ V_2=\frac{332925}{215} \\ V_2=1548.48cm^3 \end{gathered}[/tex]
Hence the new volume rounded to nearest one decimal place is 1548.5cubic centimeters.
