# Problem: A hot-air balloon is filled with air to a volume of 4.00 x 10 3 m3 at 745 torr and 21°C. The air in the balloon is then heated to 62°C, causing the balloon to expand to a volume of 4.20 x 103 m3. 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.)

###### FREE Expert Solution

Using the ideal gas equation, we can formulate an equation where P and R are constants for both conditions

85% (447 ratings) ###### Problem Details

A hot-air balloon is filled with air to a volume of 4.00 x 10 3 m3 at 745 torr and 21°C. The air in the balloon is then heated to 62°C, causing the balloon to expand to a volume of 4.20 x 103 m3. 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.)