is it just 900m cubed? or is there more to this problem? i'm confused! help!!
2006-09-26 21:48:53 · 8 answers · asked by Blehhh 2 in Science & Mathematics ➔ Mathematics
V=15*5*12=900m^3, yes, but you want mass of air in this volume. Density of air is about 28.97 gm/22.4liters, so
M=28.97 gm/22,400 cc)(1 kg/1000 gm)((100 cm/m)^3)(900 m^3)
M = 28.97*1,000,000*900)/(22,400,000) kg
M = 28.97*900/22.4 kg
2006-09-26 22:09:57 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋
This Site Might Help You.
RE:
What is the mass of air in a room measuring 15m x 5m x 12m?
is it just 900m cubed? or is there more to this problem? i'm confused! help!!
2015-08-07 16:30:10 · answer #2 · answered by Emeline 1 · 0⤊ 0⤋
since you could directly compute the volume of the air in the room using the formula V = L x W x H, you would also need to know the density of air and then use the formula M = D x V where V is volume of air and D is density of air. however, I need to mention here that density of air is altitude-dependent, but assuming you have the room at ground level, D = 1.2 kg/m^3.
hence, since V = (15 m) x (5 m) x (12 m) = 900 m^3, then:
M = (900 m^3) x (1.2 kg/m^3) = 1080 kg = 1.08 x 10^3 kg, in scientific notation, of course.
2006-09-26 22:54:48 · answer #3 · answered by JoseABDris 2 · 0⤊ 0⤋
The volume of the cube is 900m cubed. The mass depends on the temperature and the pressure of the ambient air in the room. At NTP (i.e. 20 Deg.C., 101.6 kN/m2) the density of air is 1.204 kg/m cubed. So the mass of air is 900x1.204 kgs i.e. 1083.6 kgs.
Please note that temperature and pressure required to be specified to establish the mass of air in a particular volume. This is applicable to all gases.
The above has been stated in different manner by most of the answerers before me.
2006-09-26 23:05:46 · answer #4 · answered by Manindomb 2 · 0⤊ 0⤋
No. 900 cubic meters is the volume. To get the mass, you would have to multiply the mass of air (at sea level) per cubic meter by 900.
Check this out:
http://antoine.frostburg.edu/chem/senese/101/measurement/faq/volume-to-mass-air.shtml
2006-09-27 00:18:56 · answer #5 · answered by Anonymous · 0⤊ 1⤋
The mass of air depends on the air pressure which compresses the mass. So at different altitudes, the mass would be different
2006-09-26 22:02:31 · answer #6 · answered by Nick 2 · 0⤊ 1⤋
mass of air =
(15x5x12) cubic meter X 1.3 Kg/cubic meter = 1,170 Kg
2006-09-26 22:11:44 · answer #7 · answered by ooowen 3 · 1⤊ 0⤋
n=PV/RT
n=m/MM
m = (P*V)*(MM/RT)
P= pressure
v= volume in litres
r= gas constant
t= temperature in kelvin
MM= molar mass of gas involved
2006-09-26 22:12:55 · answer #8 · answered by Anonymous · 0⤊ 1⤋
yes it's just 900m cubed
2006-09-26 21:56:23 · answer #9 · answered by ad2006miral 3 · 0⤊ 2⤋