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Consider a container filled with coconut oil having a density of 0.903 g/ml, What is the gauge pressure (Pa) 6.35 cm below the surface? 1ml = 1cm^3, 1000g = 1kg

Sagot :

The gauge pressure is 562.5 Pa.

Given data:

The density of oil is ρ=0.903 g/ml.

The distance below the surface is h=6.35 cm.

The density in kg/cm³ will be,

[tex]\begin{gathered} \rho=0.903\text{ g/ml }\times\frac{1\text{kg}}{1000\text{ g}}\times\frac{1\text{ml}}{1\text{ }cm^3}\times\frac{10^6\text{ }cm^3}{1m^3} \\ \rho=\frac{903kg}{m^3} \end{gathered}[/tex]

The gauge pressure can be calculated as,

[tex]\begin{gathered} p=\rho gh \\ p=(\frac{903kg}{m^3})(\frac{9.81m}{s^2})(6.35cm\times\frac{1\text{ m}}{100cm}) \\ p=\frac{562.5kg}{ms^2}\times\frac{1\text{ Pa}}{\frac{kg}{ms^2}} \\ p=562.5\text{ Pa} \end{gathered}[/tex]

Thus, the gauge pressure is 562.5 Pa.