In: Chemistry
A balloon at room temperature (22.5°C) has a volume of 75.5 mL. If that balloon is placed in a refrigerator where the temperature is 7.1 °C, what is the new volume of the balloon? (Assume constant pressure)
We assume the air inside the balloon behaves like an ideal gas. Therefore, for ideal gas we know,
Where ,
Now, no. of moles of gas are constant inside the balloon. The pressure is constant (given). Therefore,
Therefore, if at and temperatures volume of the gas are and , respectively, then we can write,
Now, itf we put,
Therefore the final volume (V2) of the balloon at temperature 7.1 °C will be,