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What is the numerical relation between the following units of pressure- atm and bar?
1 atm = 1.01325 bar.

Problem:
           
The pressure under the ocean increases roughly 0.1 atm per meter. At 1 km, the water pressure is 99.136 atmospheres. What is this pressure in bars?

Solution:

1 atm = 1.01325 bar

Set up the conversion so the desired unit will be cancelled out. In this case, we want bar to be the remaining unit.

pressure in bar = (pressure in atm) x (1.01325 bar/1 atm)
pressure in bar = (99.136 x 1.01325) bar
pressure in bar = 100.45 bar

Answer:

The water pressure at a depth of 1 km is 100.45 bar.


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