Number of Molecules A sealed room in a hospital, measuring 5 m wide, 10 m long, and 3 m high, is filled with pure oxygen. One cubic meter contains 1000 L, and 22.4 L of any gas contains 6.02 × 1023 molecules (Avogadro’s number). How many molecules of oxygen are there in the room?
The number of molecules of oxygen in the room.
Answer to Problem 99E
The number of molecules of oxygen in the room is
Explanation of Solution
Formula used:
Calculation:
Given that, the length of a sealed room in a hospital is
It is known that, one cubic meter contains 1000 L and 22.4 L of any gas contains
Substitute
Use the unit conversion of
Calculate the number of molecules in 22.4 L as follows.
Therefore, the number of molecules in 1 L is
Substitute
Now, move decimal 4 places to the left and add 4 to the power of 10 to write the above quantity in proper scientific notation as follows.
Round off the above quantity to two decimal places.
Therefore, the number of molecules of oxygen in the room is
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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