Answer:
9.29x10^-3m
Step-by-step explanation:
Step 1:
Data obtained from the question. This includes:
Density (ρ) = 0.879g/cm3
Pressure (P) = 0.790 atm
Height (h) =?
Step2:
Conversion to appropriate units. This is very vital in order to obtain the answer to the question in the desired unit.
For density:
1g/cm3 = 1x10^6g/m3
Therefore, 0.879g/cm3 = 0.879x1x10^6 = 879000g/m3
For pressure:
1 atm = 101325N/m2
Therefore, 0.790 atm = 0.790x101325 = 80046.75N/m2
Step 3:
Determination of the height
Pressure is related to height according to the following equation:
Pressure = Density x acceleration due to gravity x height
P = ρgh
P = 80046.75N/m2
ρ = 879000g/m3
g = 9.8m/s2
h =?
80046.75 = 879000 x 9.8 x h
Divide both side by 879000 x 9.8
h = 80046.75 / (879000 x 9.8)
h = 9.29x10^-3m