State the value of the lowest possible temperature (absolute zero) in ∘C^\circ\text{C}∘C.
Explain, in terms of the kinetic behavior of its molecules, how a gas exerts a pressure on the walls of its container.
A safety relief valve is installed at the base of an industrial storage silo containing a hyperhaline brine solution. A pressure sensor at the bottom of the silo monitors the total pressure. When the total pressure of the liquid and atmosphere reaches 137 kPa137\text{ kPa}137 kPa, the safety valve is triggered to prevent overflow.
The total pressure measured by the sensor is given by the relationship:
total pressure=atmospheric pressure+hydrostatic pressure of the brine \text{total pressure} = \text{atmospheric pressure} + \text{hydrostatic pressure of the brine} total pressure=atmospheric pressure+hydrostatic pressure of the brineWrite down the equation linking hydrostatic pressure difference, depth, density, and gravitational field strength ggg.
Calculate the depth of the brine solution in the silo at the precise moment the total pressure reaches 137 kPa137\text{ kPa}137 kPa and the safety valve is triggered.
[atmospheric pressure = 101 kPa101\text{ kPa}101 kPa, density of brine = 1200 kg/m31200\text{ kg/m}^31200 kg/m3, gravitational field strength g=10 N/kgg = 10\text{ N/kg}g=10 N/kg]
