Respuesta :

Answer:

The amount of heat required to vaporize 2.58 kg of water at its boiling point is 5,830.8 kJ.

Explanation:

A substance undergoes a change in temperature when it absorbs or gives up heat to the environment around it. However, when a substance changes phase it absorbs or gives up heat without causing a change in temperature. The heat Q that is necessary for a mass m of a certain substance to change phase is equal to:

Q = m*L

where L is called the latent heat of the substance.

In this case:

  • m=2.58 kg
  • The heat of vaporization of water is L=2260*10³ J/kg

Replacing:

Q= 2.58 kg* 2260*10³ J/kg

Q= 5,830,800 J = 5,830.8 kJ (Being 1,000 J= 1 kJ)

The amount of heat required to vaporize 2.58 kg of water at its boiling point is 5,830.8 kJ.

The required amount of heat will be "5830 KJ".

Given:

Amount of water,

  • m = 2.58 kg

As we know,

Latent heat of vaporization,

  • [tex]L_{vap} = 2260\times 31 \ kg[/tex]

Now,

The amount of heat required will be:

= [tex]m\times L_{vap}[/tex]

= [tex]2.58\times 2260[/tex]

= [tex]5830 \ KJ[/tex]

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