Ahot-air balloon is filled with air to a volume of at 750. torr and 21°c. the air in the balloon is then heated to 58°c, causing the balloon to expand to a volume of . what is the ratio of the number of moles of air in the heated balloon to the original number of moles of air in the balloon? (hint: openings in the balloon allow air to flow in and out. thus the pressure in the balloon is always the same as that of the atmosphere.) ratio = 1

Explanation:

Hello, in this case the the volume at both the first and second states are missing, therefore, one could suppose a typical value around 4000 m³ for the first state and 4200 m³ based on their normal operating conditions. In such a way, by considering the normal gas law given in terms of the change of temperature, moles and volume, assuming constant pressure as said on the statement as follows:

One solves for the increasing mole ratio as shown below:

Thus, the volume at the second state is less than that of the first state.

Best regards.