Answer:
The new volume of the balloon is 294 cm^3.
Step-by-step explanation:
The given information from the exercise is:
- Initial volume (V1): 641 cm^3
- Initial temperature (T1): 435 K
- Final temperature (T2): 200 K
To calculate the final volume (V2) of the balloon, we can use the Charles's law formula, by replacing the values of V1, T1 and T2:
![\begin{gathered} (V_1)/(T_1)=(V_2)/(T_2) \\ (641cm^3)/(435K)=(V_2)/(200K) \\ 1.47(cm^3)/(K)=(V_(2))/(200K) \\ 1.47(cm^3)/(K)*200K=V_2 \\ 294cm^3=V_2 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/k55o12uah9mok1rmd2ejc05kghneegv6kz.png)
So, the new volume of the balloon is 294 cm^3.