A weather balloon is inflated with helium. The balloon has a volume of

1.	A weather balloon is inflated with helium. The balloon has a volume of 100 m3 and it must beinflated to a pressure of 0.10 atm. If 50 L gas cylinders of helium at a pressure of 100 atm areused, how many cylinders are needed? Assume that the temperature is constant.(A) 2(B) 3(C) 4(D) 1
Answer» If the cylinders were at 1.00 atm, they would contain 50.00 L each, so at 100.0 atm they contain 5000. L each. 1 m³ = 1000 L, so 100.0 m³ = 1.000 × 10⁵ L. Since the pressure in the balloon is only 0.10 atm, though, the gas volume equals only 1.000 × 10⁴ L at 1 atm. (1.000 × 10⁴ L) / (5000. L/cylinder) = 2.00 cylinders.

A weather balloon is inflated with helium. The balloon has a volume of 100 m3 and it must beinflated to a pressure of 0.10 atm. If 50 L gas cylinders of helium at a pressure of 100 atm areused, how many cylinders are needed? Assume that the temperature is constant.(A) 2(B) 3(C) 4(D) 1

Answer»

If the cylinders were at 1.00 atm, they would contain 50.00 L each, so at 100.0 atm they contain 5000. L each.

1 m³ = 1000 L,

so 100.0 m³ = 1.000 × 10⁵ L.

Since the pressure in the balloon is only 0.10 atm, though, the gas volume equals only 1.000 × 10⁴ L at 1 atm.

(1.000 × 10⁴ L) / (5000. L/cylinder) = 2.00 cylinders.