Question

How do you express 275 mm Hg in atm and Pascal?

Answer 1

Hint:According to the International system of unit the pascal is defined as the derived unit of the pressure. The unit pascal can be used in order to quantify the several parameters such as the internal pressure, stress, young modulus and the tensile strength. The other unit for measuring pressure is atm which is known as standard atmosphere.

Complete step-by-step answer: The mm of Hg is known as the millimeters of mercury which is used to measure the pressure. The full form of atm is standard atmospheric pressure. The relationship between the two units of pressure that is atm and mm Hg is the following:
$$760mmHg=1atm$$
So to convert the 275mm Hg we should quantify the pressure from 760 mm Hg to 1 mm Hg. So,
$$760mmHg=1atm$$
$$1mmHg={\displaystyle \frac{1}{760}}atm$$
So now we will multiply 275 both sides to get the answer. So,
$$275\times 1mmHg={\displaystyle \frac{1}{760}}atm\times 275$$ so,
275mm Hg = 0.361 atm
So 275 mm Hg is equal to 0.361 atm.
Now let us know the relationship between the other two units of pressure that is atm and pascal. So the relation is:
$$1atm=101325pascal$$
So now we will multiply 0.361 both sides. So,
$$0.361\times 1atm=101325pascal\times 0.361$$
0.361 atm = 36578.325 pascal.
So 0.361 atm is equal to 36578.325 pascal.

Note:The relation between the mm of Hg and the pascal is the following:
1 mm Hg = 133.3224 Pascal.
Torr is also the other unit for measuring the pressure. 1 torr is equal to 1 mm of Hg. While converting the units we should also know how much quantity is present in one unit.