Answered: Hot air balloons float because the air…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Question

Hot air balloons float because the air inside an inflatable compartment is heated. Consider such a balloon that has an inflatable compartment of maximum volume 2160 m³ and a basket with passengers of total mass 370 kg.

a) To what temperature, in Celsius degrees, would the air inside the balloon have to be heated in order for the balloon to lift off the ground? Assume the molar mass of air is 28.97 g/mol and its density is 1.20 kg/m³.

Expert Solution

Step 1

Given that,

the maximum volume of the balloon is $V = 2160 (m^{3})$

and the total mass of the basket and passengers is $m = 370 (k g)$

For the lifting off the ground,

$m g + V ρ_{h o t} g = V ρ g$

where $ρ_{h o t}$ is the density of the hot air, and the $ρ$ is the density of the air

$ρ = 1.2 (k g / m^{3})$

Then the density of the hot air will be

$\begin{array}{rcl} ρ_{h o t} & = & \frac{V ρ - m}{V} \\ = & \frac{2160 (m^{3}) \times 1.2 (k g / m^{3}) - 370 (k g)}{2160 (m^{3})} \\ \approx & 1.03 (k g / m^{3}) \end{array}$

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions