Question

an empty metrological balloon weighs 100 N.It is filled with 20 cubic metres of hydrogen.How much maximum contents the balloon can lift besides its own weight?

Answer 1

Answer:

5028.56−781.376=4247.184 kg.

Explanation:

Volume of balloon =  

3

4

​

πr  

3

=  

3

4

​

×  

7

22

​

×(10)  

3

=4190.47 m  

3

 

Mass of the air displaced =4190.47×1.2=5028.56 kg  

No. of moles of helium in the balloon =  

RT

PV

​

 =  

0.082×300

1×4190.47×10  

3

 

​

=170344  

Mass of helium =4×170.344×10  

3

g=681.376 kg

Mass of filled balloon =681.376+100=781.376 kg  

Payload = Mass of air displaced − Mass of filled balloon =5028.56−781.376=4247.184 kg.