Cold Air Balloons

Please help me with my physics its urgent. 10 points will be awarded 4 best answer?

1)what is the pressure at
a) A depth of 10m in a water tank
b) A depth of 10m in a tank filled with mercury(mercury is approx 10 times denser than water

2) A hot air balloon has a mass of 400kg including the basket. the hot air inside the balloon weighs 17000N. determine the maximum load that the balloon is able to lift if it displaces 25000N of cold air

1 . a) Hydrostatic pressure at a depth of h is given by P = ρ g h

ρ is the density of water.

b) Density of mercury is 10 time larger as you said .So the pressure is also 10 time that for water at the same depth.

2) The upthrust is equal to the weight of cold air displaced.
25000 N
The maximum load that the balloon can lift including the weight of the balloon and contents is 25000 N

The additional weight it can lift is
25000 – (17000 + 400 x 9.8) = 4080 N = 416.3 kg

How to fill a HOT Air balloon with cold air

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