To condense 22.25 grams of nitrogen gas at -195.8°C, you would need to supply it with 4461.5 joules of heat energy. This can be calculated by using the formula:
Heat energy required = (mass of nitrogen) x (latent heat of vaporization)
Plugging in the values provided:
Heat energy required = (22.25 grams) x (199.0 J/g)
= 4461.5 joules
I hope this helps! Let me know if you have any other questions.