A Goodyear blimp typically contains 5350 m3 of helium (He) at an absolute pressure of 1.10 x 105 Pa. The mass of the helium in the blimp is 997.5 kg? What is the temperature of the helium? (MWHe = 4.002 u)

Given data: The volume of helium in the blimp is V=5350 m3. The absolute pressure of helium in the…

Answered: A Goodyear blimp typically contains…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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A Goodyear blimp typically contains 5350 m³ of helium (He) at an absolute pressure of 1.10 x 10⁵ Pa. The mass of the helium in the blimp is 997.5 kg? What is the temperature of the helium? (MW_He = 4.002 u)

Expert Solution

Step 1

Given data:

The volume of helium in the blimp is V=5350 m³.
The absolute pressure of helium in the blimp is P=1.10x10⁵ Pa.
The mass of the helium in the blimp is m=997.5 kg.
The molecular weight of the helium is MW_HE=4.002 u.

The expression for the number of moles of helium gas in the blimp can be calculated as,

$n = \frac{m}{M W_{HE}}$

Step 2

Substitute the known values in the above expression.

$n = \frac{997.5 kg \times (\frac{1000 g}{1 kg})}{4.002 u \times (\frac{1 g / mol}{1 u})} n = 249250.37 mol$

The expression for the temperature of the helium in the blimp by using ideal gas relation can be calculated as,

$P \times V = n \times R \times T$

Here, R is the gas constant and its standard value is 8.314 J/mol·K.

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