$[-/3$ Points$]$

A new liquid substance has been discovered that freezes at $-19C$ and has a latent heat of $219,500\frac{J}{k}g$ when freezing. A scientist poured the liquid $($which was at $-19C)$ into a $-71C$ cup $(c_{\text{c}\text{u}\text{p}}=750\frac{J}{k}g*K)$ which caused some, but not all, of the liquid to freeze. As a result, the liquid lost $19,000J$ of heat until thermal equilibrium was reached. Determine how much of the liquid froze & the cup's mass.

$m_{\text{f}\text{r}\text{e}\text{e}\text{z}\text{e}\text{s}}$

$m_{\text{c}\text{u}\text{p}}=$