Ahot-air balloon is filled with air to a volume of 3000 m3 at 750 torr and 21°c. the air in the balloon is then heated to 60.°c, causing the balloon to expand to a volume of 5000. 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.)

1.47

Explanation:

The combined gas equation when pressure is constant:

where,

=original number of moles of air in the balloon = ?

=  number of moles of air in the heated balloon = ?

= initial volume of gas =

= final volume of gas =

= initial temperature of gas =

= final temperature of gas =

Now put all the given values in the above equation, we get the final pressure of gas.

Therefore, the  ratio of the number of moles of air in the heated balloon to the original number of moles of air in the balloon is 1.47