This problem is crazy

tml2904

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Jan 29, 2011
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The safety standard proposed by EPA for micro particles in air is for particles up to 2.5 umeter in diameter, the maximum allowable amount is 50ugram/meter^3 air. If your 10.0 ft X 8.25ft X 12.5 ft dorm room just meets the new EPA standard, how many particles are in your room? (Assume particles are spherical and are primarily soot which has a density of 2.5g/cm^3). Volume of a sphere = 3/4pie r^3.


I don't even know where to start, any chance I can get some help on this one?
 
tml2904 said:
The safety standard proposed by EPA for micro particles in air is for particles up to 2.5 umeter in diameter, the maximum allowable amount is 50ugram/meter^3 air. If your 10.0 ft X 8.25ft X 12.5 ft dorm room just meets the new EPA standard, how many particles are in your room? (Assume particles are spherical and are primarily soot which has a density of 2.5g/cm^3). Volume of a sphere = 3/4pie r^3.


I don't even know where to start, any chance I can get some help on this one?

Convert the volume of the room to m[sup:1asrx76d]3[/sup:1asrx76d].

Calculate the weight of particles allowed (from given concentration allowed).

And continue.....

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.
 
Ok so i think I got this right......

i multipled the measurements of the room to get 1031.25 ft^3

took that number and multiplied by 35.320 m^3/1ft^3 and got 36423.75m^3

is that correct and where do I go from there?
 
You can not work with inconsistent units. Convert the cubic feet to cubic meters.
 
tml2904 said:
The safety standard proposed by EPA for micro particles in air is for particles up to 2.5 umeter in diameter, the maximum allowable amount is 50ugram/meter^3 air. If your 10.0 ft X 8.25ft X 12.5 ft dorm room just meets the new EPA standard, how many particles are in your room? (Assume particles are spherical and are primarily soot which has a density of 2.5g/cm^3). Volume of a sphere = 3/4pie r^3.


I don't even know where to start, any chance I can get some help on this one?

Now you know the volume of the room (and the air) - and you know amount(mass) of particles allowed per unit volume.

How much (mass) particle is allowed in the room?
 
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