Question

How do you convert ${\text{520mm}}$ of ${\text{Hg}}$ to ${\text{atm}}$?

Answer 1

Hint: For the conversion of any substance or quantity from ${\text{mm}}$ of ${\text{Hg}}$ to ${\text{atm}}$, first of all we have to know about the relation between those two given parameters or units.

Complete Solution :
 ${\text{mm}}$ of ${\text{Hg}}$ is also known as millimeters of mercury which is a unit of measurement of pressure.
-${\text{atm}}$ is known as the standard atmospheric pressure which is also a unit of measurement of pressure.
-Relation between these two units i.e. ${\text{mm}}$ of ${\text{Hg}}$ and ${\text{atm}}$ is shown by following equation:
${\text{760mm Hg = 1Atm}}$
-For the conversion of ${\text{520mm}}$ of ${\text{Hg}}$ to ${\text{atm}}$ following steps are involved:
First we have to convert ${\text{760mm Hg}}$ quantity to ${\text{1mm Hg}}$. So, by rearranging above equation we get
${\text{760mm Hg = 1Atm}}$
${\text{1mm Hg = }}\dfrac{1}{{{\text{760}}}}{\text{Atm}}$
Now we multiply on both side of the above equation by 520, then we get
${\text{1mm Hg = }}\dfrac{1}{{{\text{760}}}}{\text{Atm}}$
${\text{520}} \times {\text{1mm Hg = }}\dfrac{1}{{{\text{760}}}} \times {\text{520Atm}}$
${\text{520mm Hg = 0}}{\text{.684 Atm}}$
Hence, for the conversion of ${\text{520mm}}$ of ${\text{Hg}}$ to ${\text{atm}}$ above process should be followed.

Additional information-
Millimeter of mercury and the standard atmospheric pressure both are not the S.I. units of pressure, S.I. unit of pressure is Pascal.
-Relation between ${\text{mm}}$ of ${\text{Hg}}$ and Pascal is shown by the following equation in which 1 ${\text{mm}}$ of ${\text{Hg}}$ is equal to the $133.3224$ Pascal.
i.e. ${\text{1mm Hg = 133}}{\text{.3224Pa}}$
-${\text{Torr}}$ is also a measuring unit of pressure and 1 ${\text{mm}}$ of ${\text{Hg}}$ is approximately equal to 1${\text{Torr}}$.
i.e. ${\text{1Torr = 1mm Hg}}$.

Note: During the conversion of units of pressure from millimeters of mercury to the standard atmospheric pressure of any species always write the units of each measurement, otherwise you may get confused in between the two given quantities or parameters.