Estimating Total Air Molecules in a Room | Help with Homework Statement

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To estimate the total number of air molecules in a room measuring 20ft x 14ft x 8ft, the volume is calculated to be approximately 683 m³. To convert this volume into liters, it's essential to know that 1 m³ equals 1,000 liters, resulting in about 683,000 liters for the room. Using Avogadro's number, which states that 1 mole contains 6.02 x 10^23 molecules, the total number of molecules can be determined. The discussion highlights the need for conversion factors between cubic feet, cubic centimeters, and liters to complete the calculation. Understanding these conversions is crucial for accurately estimating the number of air molecules in the given space.
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Homework Statement



Estimate to 1 significant figure the total # of air molecules in this room (l=20ft, w=14ft, H= 8ft) Find molecules/room

Homework Equations


1 mole = 22.4 liters
6.02 x 10^23 molecules = 1 mole


The Attempt at a Solution



volume of room = 2240 ft^3 or approx 683 m^3

6.02x10^23 Molecules / 1 mole x 1 mole/ 22.41 liters = 6.02 x10^23 molecules/ 22.41 liters... I am stuck here. how do i figure out how many liters are in the room?
 
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Welcome to PF!

Hi Teenytiny1991! Welcome to PF! :smile:

(oooh, you're even smaller than i am! :biggrin:)
Teenytiny1991 said:
… volume of room = 2240 ft^3 or approx 683 m^3

how do i figure out how many liters are in the room?

(try using the X2 tag just above the Reply box :wink:)

How many cm3 to a litre?

How many cm to a foot? :smile:
 

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