Question

How do you convert 190 mm Hg to atmospheres of pressure?

Answer 1

Hint: The approach for the question should be done by focusing on the unit conversion of the value from mmHg to atmospheres of pressure in atm. We should be familiar with 1 atm value equal to how much value of mmHg.

Complete step by step answer:
In the question, it is asked that we have to convert the given value of unit in mm Hg to atmospheres of pressure.The question is simply about te unit conversion of values between the units of pressure,
- So before going into the solution part of the question, let’s discuss some concepts about pressure and its unit.
- We know that pressure is the force exerted in a specific area and it is calculated by dividing the force applied by the area on which the force was applied.
So we can expresses the equation of pressure as,
$\text{Pressure}\text{(P)}\text{=}{\displaystyle \frac{\text{Force }}{\text{Area}}}={\displaystyle \frac{\text{F}}{\text{A}}}$
The parameter pressure is a physical quantity and it has various units.
The SI unit of pressure is Pascal and is represented as Pa and the value is equal to $N/m^2$ and $Kg{m}^{-1}{s}^{-2}$
The other units which are used to express pressure are: bar, atmosphere pressure, Torr, mm of Hg or inch of Hg, pounds per square inch.
So now let’s discuss the unit conversion between atmospheric pressure and mmHg of atmosphere.
- We know that, when 1 atm of pressure is applied, it raises the mercury column to about 76 cm in length.
So we can say that 1 atm is equal to 76 cm of Hg or 760 mm of Hg.
$1atm=760mmHg$
Here we have to convert 190 mm Hg to atm, so we will divide the given value of mmHg with 760 mm Hg to get the value of atm for 190 mm Hg.
$Atmosphereofpressure={\displaystyle \frac{190}{760}}=0.25atm$
So the final answer is 0.25 atm.
Note: We know the interconversion between the units to do various calculation problems.
Let’s see some interconversion from 1 atm.
If 1 atm has to be converted to bar, $1atm=1.01325bar$
$1atm=101.325KPa$
$1atm=101325Pascal$
$1atm=760torr$
$1atm=14.6959psi$