Ahot air balloon is filled with 1.41 ã 106 l of an ideal gas on a cool morning (11 â°c). the air is heated to 109 â°c. what is the volume of the air in the balloon after it is heated? assume that none of the gas escapes from the balloon.

Answer : The volume of the air in the balloon after it heated is,

Solution : Given,

Initial volume of air balloon =

Initial temperature of air balloon =  

Final temperature of air balloon =

According to the Charles' law, the volume of an ideal gas is directly proportional to the temperature of the gas at constant pressure.

It is represented as,

or,

where,

= initial volume of air balloon

= final volume of air balloon

= initial temperature of air balloon

= final temperature of air balloon

Now put all the given values in the above formula, we get the final volume of air balloon.

Therefore, the volume of the air in the balloon after it heated is,

two charges are fixed in place on the x-axis as shown. the charge at x = 0 is negative and has magnitude q = 2 μcoulombs (1 μcoulomb = 10-6 coulombs). the charge at x = d, (d = +12 cm), is positive and has magnitude q = 4 μcoulombs. find a point x = xo along the x-axis at which the electric field is zero.