Answer
23.52 atm pressure is exerted by a column of methanol
Explanation:
formula for pressure
Pressure = force / area
And we know that Force F= mass x acceleration (ma)
And mass = volume x density
And volume = cross sectional area x height?
so that...
P = F/A
Putting value of F
P = (mg)/A
Putting value for mass
P = (ρ V) g / A
Putting value for volume
P = ρ (A h) g / A
Canceling A
P = ρgh
Now add the value
now watch the units...
P = (0.787g/cm³) x 9.80 m/s² x 305m... units= g x m² / (cm³ s²)
and if you recall for pressure unit Pressure ...
1 Pa = 1 N / m² = (1 kg m / s²) / m²
so know
[g x m² / (cm³ s²)] x (1 kg / 1000g) x (100 cm / m)³
converts the units to (1 kg m² / s²) / m
= (1 kg m / s²) / m²
Addition of all values
P = (0.787g/cm³) x 9.80 m/s² x 305m x (1 kg / 1000g) x (100 cm / m)³ x (1 atm / 101325 Pa)
Pressure= 23.52 atm
