Kirchhoff's Loop Rule Practice Test

A battery with emf $\varepsilon=15,\text{V}$ and internal resistance $r=0.50,\Omega$ is connected in series with an external resistor $R=4.5,\Omega$. Using the loop rule, what is the potential difference across the battery terminals during operation?

A battery with emf $\varepsilon=18,\text{V}$ and internal resistance $r=2.0,\Omega$ is connected to an external load resistor $R=7.0,\Omega$ in series (single loop). Using Kirchhoff's Loop Rule, what is the potential difference across the battery terminals while delivering current to the load?