Question

The volume of a Goodyear Blimp is 2.5x10^7 L, which is occupied by 1.7x10^6 mol of helium. What is the internal pressure of the blimp at 22C

Answer 1

1.7 bar

Explanation:

We can use the Ideal Gas Law to calculate the individual gas pressure.

pV = nRT Divide both sides by V

p = (nRT)/V

Data: n = 1.7 × 10⁶ mol

R = 0.083 14 bar·L·K⁻¹mol⁻¹

T = 22 °C

V = 2.5 × 10⁷ L

Calculations:

(a) Change the temperature to kelvins

T = (22 + 273.15) K

= 295.15 K

(b) Calculate the pressure

p = (1.7 × 10⁶ × 0.083 14 × 295.15)/(2.5× 10⁷)

= 1.7 bar