Se infla un globo de helio hasta el volumen de 0.045 m3 a la temperatura de 2°C Sí el globo se enfría a -12 °C . ¿Cuál será su nuevo volumen? Considere que la presión no varía

Hi! the english version of the given question is "A helium balloon is inflated to the volume of 0.045 m3 at a temperature of 2 ° C. If the balloon is cooled to -12 ° C. What will its new volume be? Consider that the pressure does not vary". The answer is given in english.

The new volume of balloon is .

Explanation:

Let's assume the helium gas inside the balloon behaves ideally.

The total number of moles of helium gas inside the balloon remains constant.

Applying combined gas law, we get:

Where:

are the initial and final pressure of the balloon respectively.

are the initial and final volume of the balloon respectively.

are the initial and final temperature in the kelvin scale respectively.

Given:

Substituting the above values, we get: