In a physics lab, a student accidentally drops a $25.0 \mathrm{g}$ brass washer into an open dewar of liquid nitrogen at $77.2 \mathrm{K} .$ How much liquid nitrogen boils away as the washer cools from $293 \mathrm{K}$ to $77.2 \mathrm{K}$ ? The latent heat of vaporization for nitrogen is $199.1 \mathrm{kJ} / \mathrm{kg}$.