First of all, let's convert the pressure in Pascal:
[tex] p=435 kPa=435 000 Pa [/tex]
Keeping in mind that [tex] 1 atm = 101 300 Pa [/tex], we can convert it into atmospheres:
[tex] 1 atm : 101 300 Pa = p :435 000 Pa [/tex]
[tex] p=\frac{435 000 Pa \cdot 1 atm}{101 300 Pa}=4.3 atm [/tex]
We know that 1 atm corresponds to 760 millimeters of mercury, so we have:
[tex] 1 atm = 760 mmHg = 4.3 atm : p [/tex]
From which we find the pressure in millimeters of mercury:
[tex] p=\frac{760 mmHg \cdot 4.3 atm}{1 atm}=3268 mmHg [/tex]
