Answer:
17,890 J
Explanation:
The amount of heat released by a gaseous substance when it condenses is given by the formula
[tex]Q=n\lambda_v[/tex]
where
n is the number of moles of the substance
[tex]\lambda_v[/tex] is the latent heat of vaporization
The formula can be applied if the substance is at its vaporization temperature.
In this problem, we have:
n = 0.440 mol is the number of moles of steam
[tex]\lambda_v=40,660 J/mol[/tex] is the latent heat of vaporization of water
And the steam is already at 100C, so we can apply the formula:
[tex]Q=(0.440)(40660)=17,890 J[/tex]