Condensation on a glass of ice water causes the ice to melt faster than it would otherwise. If 8.00 g of vapor condense on a glass containing both water and 200 g of ice, how many grams of the ice will melt as a result? Assume no other heat transfer occurs. Use ???????? for water at 37°C as a better approximation than ???????? for water at 100°C .)

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Answer:

58.2g

Explanation:

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58200 grams of the ice will melt as a result.

What is condensation?

Condensation is the process where water vapor becomes liquid. It is the reverse of evaporation, where liquid water becomes a vapor. Condensation happens one of two ways:

Either the air is cooled to its dew point or it becomes so saturated with water vapor that it cannot hold any more water.

According to the question,

Energy used to melt the ice is the energy released by the condensation of the water forms on the glass

Given

[tex]m_1 = 200g\\\\m_2 = 8.00g\\\\L_v = 2430 kg\\\\L_f = 334[/tex]

So ,energy for the condensation of water is given as

let mass of water condensed = m

[tex]E = m_1L_f[/tex]

Here, the energy of vaporization is given as

[tex]E = m_2L_v[/tex]

We know that,

[tex]m_2 = \frac{ m_1(L_v)}{L_f}[/tex]

[tex]m_2 = \frac{8.00*2430}{334} \\\\m_2 = 58.2 kg[/tex]

[tex]m_2 = 58200 g[/tex]

Therefore, 58200 grams of the ice will melt as a result.

Learn more about Condensation here: https://brainly.com/question/15563071

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