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Convert 38.6 mmHg to atm.

(Note: 760 mmHg = 1 atm, which is about sea level. Use three significant figures for the answer.)

Answer :

Final answer:

To convert 38.6 mmHg to atmospheres (atm), we use the relationship 1 atm = 760 mmHg. Applying this conversion gives us 38.6 mmHg is approximately 0.051 atm.

Explanation:

To convert 38.6 mmHg into atmospheres (atm), we use the equivalence of 1 atm = 760 mmHg. This is derived from the fact that the average atmospheric pressure at sea level is approximately equal to the pressure exerted by a column of mercury (Hg) 760 mm high.

Given this, we construct the conversion by dividing the given mmHg value by 760 mmHg (the equivalent value in atm):

38.6 mmHg * (1 atm / 760 mmHg) = 0.051 atm

Therefore, 38.6 mmHg is equivalent to 0.051 atm when rounded to three significant figures.

In summary, the process involves using the equivalence between mmHg and atm to convert between these two units of pressure. This is a crucial concept applied in many physics and chemistry calculations relating to gas law and general pressure contexts.

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