Answer: The new volume obtained is 45 mL.
Explanation:
To obtain new volume, we use the equation given by Charles' Law. This law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.
Mathematically,
[tex]V\propto T[/tex]
or,
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
We are given:
Conversion Factor: [tex]T(K)=273+T(^oC)[/tex]
[tex]V_1=50mL\\T_1=27^oC=300K\\V_2=?mL\\T_2=-3^oC=270K[/tex]
Putting vales in above equation, we get:
[tex]\frac{50}{300}=\frac{V_2}{270}\\\\V_2=45mL[/tex]
Hence, the new volume obtained is 45 mL.