Initial volume of the balloon =
= 348 mL
Initial temperature of the balloon
=
![25.0^(0)C + 273 = 298 K](https://img.qammunity.org/2019/formulas/chemistry/high-school/76ric39l9trq6rdwqqoljhp9hiikt8bkwc.png)
Final volume of the balloon
= 322 mL
Final temperature of the balloon =
![T_(2) = ?](https://img.qammunity.org/2019/formulas/chemistry/high-school/v9tnlqxtxdhq8n84zswuv38mnhqdnau7o0.png)
According to Charles law, volume of an ideal gas is directly proportional to the temperature at constant pressure.
![(V_(1) )/(T_(1) ) =(V_(2) )/(T_(2) )](https://img.qammunity.org/2019/formulas/chemistry/high-school/v6sxy8hts6isgr9v3i8vt54dg3s6y4vozo.png)
On plugging in the values,
![(348mL)/(298 K) =(322 mL)/(T_(2) )](https://img.qammunity.org/2019/formulas/chemistry/high-school/lrdlrylza1izwhzkcjrzh6r5ol012uxnq8.png)
![T_(2) =276 K](https://img.qammunity.org/2019/formulas/chemistry/high-school/i076smqmz5iwwhcq7exumtkeuy9eu345ww.png)
Therefore, the temperature of the freezer is 276 K