# Balloon

Topics: Hot air balloon, Balloon, Montgolfier brothers Pages: 3 (445 words) Published: February 17, 2014
﻿Narrative
To create a miniature hot air balloon the required materials are: tissue paper, glue sticks, scissors, and a gore template that can be found on the internet. To assemble the balloon the tissue paper must be cut into 8 panels using the gore template. The panels must then be glued onto each other by offsetting one of the panels by 1 centimeter. This step must be repeated until all 8 panels are glued together and form a balloon. The balloon should measure 1.5 meters tall and about ¾ of a meter in diameter along its widest point. Since April, 22nd is Earth day it has been decided to recycle old materials to make our balloon so it will be eco-friendly.

Estimated Volume of the Balloon
Height of Balloon = 1.5 meters
Average Circumference = 238.76 cm
Average Diameter = 76.04 cm = 238.76cm/ πcm
Volume = (4/3)* π * radius³
Volume = (4/3)* π * 38.02³
Volume = 230,210.40 cm³
230,210.40 cm³ * .001 = 230.21 Liters
Volume = 230.21 Liters

Molar Mass of Air
Composition of Air
78.08% Nitrogen = .7808 * 28 = 21.86
20.95% Oxygen = .2095 * 32 = 6.7
.93% Argon = .0093 * 39.9 = .37
.03% Carbon Dioxide = .0003 * 44 = .0132
.002% Neon = .00002 * 20 = .0004
21.86 + 6.7 + .37 + .0132 + .0004 = 28.94grams/Mole of Air

Density of Air
28.94/22.4 = 1.29g/Liter at STP
Formula
Density = [(Molar Mass of Air)*(Pressure)]/[(.08206)*(Temperature)] Density @ 20ºC = (1*28.94)/ (.08206*293K) = 1.20g/L
Density @ 75ºC = (1*28.94)/ (.08206*348K) = 1.01g/L

Moles of Gas in Balloon @ 75 ºC
Pressure * Volume = moles * .08206 * Temperature
1*230.21 = n(.08206)*348
230.21 = n * 28.56
230.21/ 28.56 = (n * 28.56)/28.56
8.06 moles in the balloon at 75 ºC

Mass of Air in Balloon
(8.06 * 22.4) * 1.01g/L = Mass of Air in Balloon in grams
182.34 grams
Mass of Balloon
34.57 grams
Density of Balloon and Air
182.34g + 34.57g = 216.91g
216.91g/230.21 L = .942g/L

Theory
A hot air balloon rises into the sky because the air inside the...

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