​A spherical balloon of 21cm diameter is to be filled up with H2 (HYDROGEN)

Chemistry
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A spherical balloon of 21cm diameter is to be filled up with H2 (HYDROGEN) at STP from a cylinder containing gas at 20atm and 300K . If the cylinder can hold 2.82L of water . Calculate the no. of balloons that can be filled up in cylinder?

Nov 13th, 2014

D (Sphere) = 2.1*10-1 m 

We know that the volume of the sphere is:

4 3 V r

 

3

According to ideal gas law: 

P1 =20atm, P2 = 1atm (STP: P=1atm, T=273K) So, P1=20P2

T1=300K, T2=273K

V1=2.82L=2.82*10-3m3

P V T 20P V T 20V T

1 1 2 2 1 2 1 2

v

  

2

P T P T T

2 1 2 1 1

N-number of balloons

VS-volume of the sphere

V 20V T 120V T

2 1 2 1 2

N

   

V T V D T

S 1 S 1

VS=4.85*10-3m3

Answer: n=10. (10 complete balloons).

According to it:

2 2 3

2 D 2 D V ( )

   

3 2 3 2

P V P V

1 1 2 2

T T

1 2

3

 V2=5.13*10-2m3

3

 n=10.58


Nov 13th, 2014

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