Answer:
The new volume of the balloon is [tex]346.5\ cm^3[/tex].
Explanation:
Initial volume of a balloon is 417 cm³
The temperature decreases from 278 K to 231 K.
It is required to find the new volume of the balloon if the pressure is constant pressure. At constant pressure, volume is directly proportional to the temperature. So,
[tex]V\propto T[/tex]
i.e.
[tex]\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}[/tex]
V₂ is final volume.
[tex]V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{417\times 231}{278}\\\\V_2=346.5\ cm^3[/tex]
So, the new volume of the balloon is [tex]346.5\ cm^3[/tex].
