Determine the mass and also the weight of the air consisted of in a room whose dimensions room $V=$ $15ft$ x $20ft$ x $20ft$. Assume the density of the air is $\rho=0.0724\cdot\fraclbmft^3$.

You are watching: Mass of air in a room

My Solution:

First uncover the mass...

$$m=\rho\times V$$

$$m=0.0724\cdot\fraclbmft^3\times 6000\cdot ft^3$$

$$=434.3\cdot lbm$$

Now uncover the pressure acting top top the air due to gravity. This is the load of the waiting assumed in ~ sea-level...

$$W=m\times g$$

$$W=434.3\cdot lbm\times32.174\cdot\fracfts^2$$

$$=13976\cdot lbf$$

Question:

I find it hard to believe that in an median size room the air weighs a whopping $14,000\cdot lbf$. Did I perform something wrong in my calculations or is this correct? If this is correct maybe we earthlings living on the surface ar of the earth are the actual extremophiles.

mechanical-princetoneclub.org thermodynamics push
re-superstructure
boost this inquiry
follow
edited Apr 6 "15 at 23:15 706Astor
asked Apr 3 "15 at 23:18 Jules MansonJules Manson
$\endgroup$
1

1
$\begingroup$
A pound force is characterized as the force required to accelerate a cheese at 1 ft/s^2.The thickness of wait is $\rho = 0.0724 \ lb_m/ft^3 = 0.0724/32.2 \ slugs/ft^3$

The weight of the waiting is $\rho V g = 0.0724/32.2 \ slugs/ft^3 \cdot32.2 ft/s^2\cdot 6000 ft^3 = 0.0724\cdot 6000 \ slugs\ ft/s^2 = 434.4 lb_f$

share
monitor
answered Apr 4 "15 at 6:50 Ronny LandsverkRonny Landsverk
15655 bronze title
$\endgroup$

Thanks because that contributing solution to princetoneclub.org stack Exchange!

But avoid

Asking for help, clarification, or responding to other answers.Making statements based on opinion; earlier them increase with references or an individual experience.

Use MathJax to style equations. MathJax reference.

See more: Euroline Bob Kramer Double-Cut Sharpening Steel, Bob Kramer Double

Draft saved

authorize up making use of Google
authorize up using Email and Password
send

Post together a guest

name
email Required, however never shown

Post as a guest

surname
email

Required, yet never shown

Not the answer you're spring for? Browse various other questions tagged mechanical-princetoneclub.org thermodynamics push or ask your very own question.

The Overflow Blog
Featured ~ above Meta
associated
17
Pound-force (lbf) vs Pound-mass (lbm)
1
recognize abs pressure in a tank where the atm and also vac pressures are offered
5
recognize elevation native the distinction in air push
4
knowledge pressure drop and mass average values
4
Why does my design of a wind turbine present high RPM through low strength output?
0
Relationship in between Pressure and volume v Air
3
how to calculate required air mass flow to save CPU below particular temperature?
4
Time-rate of adjust of P and also T in a pressurized strictly volume through a hole in that
hot Network inquiries an ext hot concerns

question feed princetoneclub.org
agency
stack Exchange Network
site style / logo © 2021 stack Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.10.1.40358

princetoneclub.org stack Exchange works finest with JavaScript enabled 