Question

How do you convert 1.05 atm of pressure to its equivalent in millimeters of mercury?

Answer 1

The standard atmospheric pressure is given in terms of atm. Here to convert the amount of pressure given in atm into millimeters of mercury we must know that 1 atm is equivalent to 760mmHg.

Complete step by step answer:
It is given that the pressure is 1.05 atm.
We need to convert the unit of pressure given in atm abbreviation of atmospheric pressure to millimeters of mercury given in mmHg.
The atmospheric pressure is also known as barometric pressure is the pressure present within the earth’s atmosphere.
The pressure is defined as the physical force which is applied against any object. The SI unit of pressure is pascals which is denoted by Pa.
The atm unit is roughly equal to the mean sea-level atmospheric pressure within the Earth. In other words it can be said that the Earth’s atmospheric pressure at the sea level is approximately 1 atm.
The symbol used for the standard atmosphere is the atm which is equivalent to 760 mm Hg.
It can also be written
$\Rightarrow \dfrac{{760mmHg}}{{1atm}}$
1.05 atm is converted to millimeters of mercury as shown below.
$\Rightarrow 1.05atm \times \dfrac{{760mmHg}}{{1atm}}$
$\Rightarrow 798mmHg$
Both the common atm will be cancelled out and the answer obtained will be in tems of millimeters of mercury mmHg.

Note: The conversion can also be done in terms of pascals as the unit of pressure atm is defined as 101,325 Pascals. $1atm = 101,325Pascals = 101.3kPa$
$1atm = 101.3KPa$
$1KPa = 7.501mmHg$
The conversional factor used are shown below.
$\dfrac{{1atm}}{{101.3kPa}}$ and $\dfrac{{1kPa}}{{7.501mmHg}}$
So, the conversion is done as shown below.
$\Rightarrow 1.05atm \times \left( {\dfrac{{101.3kPa}}{{1atm}}} \right)\left( {\dfrac{{7.501mmHg}}{{1kPa}}} \right)$
$\Rightarrow 798mmHg$
In both the cases the obtained value will be the same.