function of time. This problem must be so Problem 4- Fluids and Heat (a) A distant planet has an average mass density identical to that of planet Earth, and a radius, rp, twice the Earth radius. Find the velocity of a liquid flowing out of a spigot at the bottom of a reservoir, assuming that the diameter of the reservoir is much larger than that of the spigot, and the distance between the spigot and the surface of the liquid is h = 9.8 m. (b) A spherical shell made of lead, partially filled inside with an unknown liquid, floats in water. Assuming that the mass of the lead shell is 1500 kg and that the overall volume occupied by the sphere (including the space inside) is V= 3.0 m³, find the mass of the liquid inside the sphere such that 60% of the sphere is submerged in water. (c) Ten liters of water, with initial temperature T-20 °C, is mixed with an unknown mass of ice with initial temperature Tice= -40 °C. Consider the system water+ice to be isolated. When thermodynamic equilibrium is reached, the state of the system is a mixture of water+ice with 50% liquid water. Find the unknown mass of ice. Cisa adiabatic

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I attached question and 
Please do ONLY part C 
Part is not related to parts a and b 
Please explain it to me in another way and make sure the answer matches 

answer should be no ice melts mice = mw 

function of time. This problem must be so
Problem 4- Fluids and Heat
(a) A distant planet has an average mass density identical to that of planet Earth, and a radius, rp, twice the Earth radius. Find the velocity of a liquid flowing out of a spigot
at the bottom of a reservoir, assuming that the diameter of the reservoir is much larger than that of the spigot, and the distance between the spigot and the surface of
the liquid is h = 9.8 m.
(b) A spherical shell made of lead, partially filled inside with an unknown liquid, floats in water. Assuming that the mass of the lead shell is 1500 kg and that the overall
volume occupied by the sphere (including the space inside) is V= 3.0 m³, find the mass of the liquid inside the sphere such that 60% of the sphere is submerged in water.
(c) Ten liters of water, with initial temperature T-20 °C, is mixed with an unknown mass of ice with initial temperature Tice= -40 °C. Consider the system water+ice to be
isolated. When thermodynamic equilibrium is reached, the state of the system is a mixture of water+ice with 50% liquid water. Find the unknown mass of ice.
Cisa adiabatic
Transcribed Image Text:function of time. This problem must be so Problem 4- Fluids and Heat (a) A distant planet has an average mass density identical to that of planet Earth, and a radius, rp, twice the Earth radius. Find the velocity of a liquid flowing out of a spigot at the bottom of a reservoir, assuming that the diameter of the reservoir is much larger than that of the spigot, and the distance between the spigot and the surface of the liquid is h = 9.8 m. (b) A spherical shell made of lead, partially filled inside with an unknown liquid, floats in water. Assuming that the mass of the lead shell is 1500 kg and that the overall volume occupied by the sphere (including the space inside) is V= 3.0 m³, find the mass of the liquid inside the sphere such that 60% of the sphere is submerged in water. (c) Ten liters of water, with initial temperature T-20 °C, is mixed with an unknown mass of ice with initial temperature Tice= -40 °C. Consider the system water+ice to be isolated. When thermodynamic equilibrium is reached, the state of the system is a mixture of water+ice with 50% liquid water. Find the unknown mass of ice. Cisa adiabatic
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