Answer:
346.5cm³
Explanations:
According to Charles law, the volume of a given gas sample is directly proportional to its absolute temperature at constant pressure. Mathematically;

where:
• v1 and v2 are the ,initial and final volume
,
• T1 and T2 are the ,initial and final temperatures ,in Kelvin
Given the following parameters
• v1 = 417 cm³
,
• T1 = 278K
,
• T2 = 231K
Substitute the given parameters into the formula to get the final volume as shown:
![\begin{gathered} v_2=(v_1T_2)/(T_1) \\ v_2=\frac{417\operatorname{cm}^3*231\cancel{K}}{278\cancel{K}} \\ v_2=(96,327)/(278) \\ v_2=346.5\operatorname{cm}^3 \end{gathered}]()
Hence the new volume of the balloon will be 346.5cm³