a) Given the normal-air balloon measures a gauge pressure of 6 atm and the surrounding temperature is a Texas - nice 37 o C, what is the density of the normal air? (hint: molar mass of normal air is assumed to be 29 g/mol)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A circus clown making balloon animals wants to make a special gas mixture that is less dense
then air, soit can float away. He randomly mixes nitrogen and Hydrogen of unknown quantities
into a gas canister and uses it to fill up a balloon. Due to the meticulous nature of the clown, the
gas can be assumed to follow ideal gas laws. The clown wants to see how well me did, so he fills
one balloon with special clown mixture, and the other with normal air.
a) Given the normal-air balloon measures a gauge pressure of 6 atm and the surrounding
temperature is a Texas - nice 37 o C, what is the density of the normal air? (hint: molar mass of
normal air is assumed to be 29 g/mol)
b) The clown will not release his source for the secret gas formula, but he says he can prove his
gas is lighter than air in the balloons. He boast the gas he filled the balloon with has a density of
4.41kg/m3, with the same volume, temperature, and pressure of the balloon filled with normal
gas. What is the molecular formula for the secret gas? What Is the name of the molecule?
Transcribed Image Text:A circus clown making balloon animals wants to make a special gas mixture that is less dense then air, soit can float away. He randomly mixes nitrogen and Hydrogen of unknown quantities into a gas canister and uses it to fill up a balloon. Due to the meticulous nature of the clown, the gas can be assumed to follow ideal gas laws. The clown wants to see how well me did, so he fills one balloon with special clown mixture, and the other with normal air. a) Given the normal-air balloon measures a gauge pressure of 6 atm and the surrounding temperature is a Texas - nice 37 o C, what is the density of the normal air? (hint: molar mass of normal air is assumed to be 29 g/mol) b) The clown will not release his source for the secret gas formula, but he says he can prove his gas is lighter than air in the balloons. He boast the gas he filled the balloon with has a density of 4.41kg/m3, with the same volume, temperature, and pressure of the balloon filled with normal gas. What is the molecular formula for the secret gas? What Is the name of the molecule?
Expert Solution
Given

(a) Gauge pressure = 6 atm 

     temperature = 37oC = 310 K

     Molecular weight of air (M)= 29 g/mol

     Density (ρ) = W/ M

 

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