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The pressure in a 28.0 L helium cylinder is 850 psi at 28.5 oC. The tank is emptied filling 3.75 L balloons at 14.0 oC and 102.6 kPa. How many balloons can be completely filled by emptying the helium cylinder?

Answer :

onyebuchinnaji

The number of balloons that can be completely filled by emptying the helium cylinder is 406.

Number of balloons to be filled by the cylinder

The number of balloons to be filled by the cylinder is calculated by using general gas equation as shown below;

[tex]\frac{P_1V_1}{T_1} =n( \frac{P_2V_2}{T_2})[/tex]

where;

  • n is number of balloons
  • P1 = 850 psi  
  • P2 = 102.6 kPa = 14.88 psi
  • T1 = 28.5⁰C = 301.5 K
  • T2 = 14⁰C = 287 K

[tex]\frac{850 \times 28}{301.5} =n( \frac{14.88 \times 3.75}{287})\\\\78.94 = 0.194n\\\\n = 406[/tex]

Thus, the number of balloons that can be completely filled by emptying the helium cylinder is 406.

Learn more about gas equation here: https://brainly.com/question/25736513

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