In order to calculate the mass, we can use the formula below:
[tex]Q=m\cdot H_V[/tex]Where Q is the heat energy, m is the mass and HV is the latent heatof pvaporizaion.
Since the latent heat is given in J/g, themas s will be used in g and the energy in J.
So we have:
[tex]\begin{gathered} 5023=m\cdot2260\\ \\ m=\frac{5023}{2260}\\ \\ m=2.22\text{ g} \end{gathered}[/tex]Therefore the mass is 2.22 grams.