How to set up the balance equation

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The discussion focuses on setting up the balance equation for a problem involving the cooling of liquid water using ice in a containment scenario. The primary system starts at saturated liquid conditions and must not exceed a pressure limit after a rupture. Participants emphasize the need to account for the ice's phase change and heating process, as it transitions from -10°C to melting and then to equilibrium with the primary water. There is confusion regarding how to incorporate the ice into the balance equation, particularly with the fusion heat involved. Understanding these elements is crucial for solving the problem effectively.
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I have problem with these two questions, can you give me a hint and help to understand it, I do understand problem 7-3 but i have problem with applying the equastion, I don't understand to 7-2 but i knw we have to have an addition term for the ice in the given balance equastion, can anyone help me with it


here its sorry
 

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matt222 said:
I have problem with these two questions, can you give me a hint and help to understand it, I do understand problem 7-3 but i have problem with applying the equastion, I don't understand to 7-2 but i knw we have to have an addition term for the ice in the given balance equastion, can anyone help me with it
I don't see problem 7-2.
 


the attachment corrected
 


In 7-2, there is containment at a given volume and pressure (1 atm). If there is a rupture of the primary system (initially at saturated liquid conditions at 15.5 MPa), it will pressurize the containment. There has to be enough ice available to cool the liquid water from the primary system, such that the vapor and air in the containment do not exceed the pressure limit of 0.4 MPa.

The ice is at -10°C, so it must heat up to melting temp, then change phase from liquid to solid, and then heat up to some equilibrium with the primary water.

One can neglect the volume of ice by assuming that it's volume doesn't change much going from ice to liquid in containment.
 


But the problem now how to set up the balance equation! How to include the ice in the equation and we have fusion heat mixed me up!
 
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