Question

A 20 liter cylinder of helium at a pressure of 150 atm and a temperature of 27ÁC is used to fill a balloon at 1.00 atm and 37ÁC. What is the volume of the balloon?
A) 2400 Liters

B) 2900 Liters

C) 3000 Liters

D) 3100 Liters

Answer 1

Answer

D) 3100 Liters

Explanation

To get the volume if the balloon you need to use the combined equation of the low of gases.

P₁V₁/T₁ = P₂V₂/T₂

(20×150)/(27+273) = (1×V₂)/(37+273)

3000/300 = V₂/310

10 = V₂/310

V₂ = 10 × 310

    = 3100 Liters

Answer 2

Using the ideal gas relationship, we know that:
PV/T = constant
For a fixed amount of gas.

P₁V₁/T₁ = P₂V₂/T₂
V₂ = P₁V₁T₂/T₁P₂
V₂ = (150 x 20 x (27 + 273)) / ((37 + 273) x 1)
V₂ = 2903 L
= 2900 L
The answer is B