Question

In: Chemistry

A balloon at room temperature (22.5°C) has a volume of 75.5 mL. If that balloon is...

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)

Solutions

Expert Solution

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 (V​​​​​​2) of the balloon at temperature 7.1 °C will be,


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