Liquid nitrogen is often used as an effective coolant, as its boiling temperature is 77.0 K. A 0.750 kg block of iron with an initial temperature of 313.27 K is immersed in an insulated bath of liquid nitrogen with an initial temperature of 77.0 K. After the iron and the liquid nitrogen reach a state of thermal equilibrium, the iron block has cooled to a final a temperature of 77.0 K, and 198 g of liquid nitrogen has boiled off (vaporized). Assuming that the specific heat of iron over this temperature range is is 285 J/kg·K, What is the latent heat of vaporization of liquid nitrogen?

Liquid nitrogen is often used as an effective coolant, as its boiling temperature is 77.0 K. A 0.750 kg block of iron with an initial temperature of 313.27 K is immersed in an insulated bath of liquid nitrogen with an initial temperature of 77.0 K. After the iron and the liquid nitrogen reach a state of thermal equilibrium, the iron block has cooled to a final a temperature of 77.0 K, and 198 g of liquid nitrogen has boiled off (vaporized). Assuming that the specific heat of iron over this temperature range is is 285 J/kg·K, What is the latent heat of vaporization of liquid nitrogen?