Revisiting physical 1!

Chemistry Level 4

A spherical balloon of 21 cm diameter is to be filled up with hydrogen at S.T.P. from a cylinder containing the gas at 20 atmospheres at 27 degree celsius. If the cylinder can hold 2.82 litres of water, calculate the number of balloons that can be filled up.

If you get a non-integral​ answer round off to the nearest integer


The answer is 10.

Prakhar Bindal by Prakhar Bindal , 22, India

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1 solution

Aryan Goyat
May 19, 2016

ok this is well renowed one the major trick is that we cant fill the balloon when the cylinder pressure drop to 1 atm more gas cant be extracted. rest is easy .

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Yeah JEE Problem it is!

Prakhar Bindal - 5 years ago

Oh! I missed it .GOOD Question

Parth Chopra - 5 years ago

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hey get me the prob with my q moving wall else delete the report.

aryan goyat - 5 years ago

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Let the time elapsed from launch till collision be t . The relative velocity in the horizontal is 25m/s which means separation of point of projection and point of collision will be 15t . Now after collision the ball will have a velocity of 15m/s.now we know that time if flight is √3 s and now , to cover 15t meters the time required is( √3-t )seconds . 15t=25(√3-t) T=1.08 seconds

Parth Chopra - 5 years ago

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@Parth Chopra – the 15 is relative v b/w them so 15 t will give you the distance b/w the wall and ball at t=0 and 15t distance will not be the final distance b/w them it is less than that.

aryan goyat - 5 years ago

Here's an outline of the solution As pointed out above More gas cannot be removed from the cylinder once the pressure drops down to 1 ATM(Gas doesn't flow from low-pressure to high-pressure lol) We know Volume of Cylinder =2.82L We find Initial moles of H2 present using PV=nRT Now as V and T are held constant for the cylinder We realise that when pressure drops to 1 ATM from 20 ATM ,19/20 ×(total no.of moles of H2 ) must have been used up to fill the balloon This escaped gas is now in STP conditions(free atmosphere) So the volume occupied by it is simply no.of Mol's of escaped gas ×22.4L Rest is dividing by the volume of a single balloon To get no.of balloons filled Which is approximately 10

Suhas Sheikh - 3 years ago

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