Find the mass of 0 C ice that 10g of 100 C steam will melt completely?

Question

C = Means Degrees

And please, show me how you get it.

Answer 1

The specific heat of fusion of water (i.e., the energy it takes to convert ice at 0 C to water at 0 C) is 334 kJ/kg. In this problem, that energy is provided by the energy liberated by the condensation of steam at 100 C, plus the heat given off as the resulting liquid water cools from 100 C to 0 C.

The specific heat of vaporization of water (i.e., the energy it takes to convert liquid water at 100 C to steam at 100 C) is 2260 kJ/kg. In this problem, every kg of steam that condenses gives up this much energy. Furthermore, the specific heat capacity (at constant pressure) of water is 4.186 kJ/(kg*K). For every 1 degree Kelvin change decrease in temperature 1 kg of liquid water releases 4.186 kJ of energy. (Note that a 1 K degree change is the same as a 1 degree C change in temperature; it's just the zero points of these scales that differ).

If x is the number of kg of ice that can be melted, we have:

x*334 kJ/kg = 0.01 kg * 2260 kJ/kg + 0.01 kg * 100 K * 4.186 kJ/(kg*K)

x*334 kJ/kg = 22.60 kJ + 4.186 kJ = 26.785 kJ

x = 26.785 kJ/(334 kJ/kg)

x = 8.02*10^-2 kg = 80.2 gm

10 grams of steam at 100 C will melt 80.2 grams of ice at 0 C, if the water that is produced by the condensation of the steam is allowed to cool to 0 C.

If the water produced by the condensation of the steam is *not* allowed to equilibrate temperature with the ice, and cool to 0 C (for instance, if the condensed water is immediately removed from the system), then only the heat of vaporization (condensation) is available to melt the ice. In this case:

x*334 kJ/kg = 0.01 kg * 2260 kJ/kg

x*334 kJ/kg = 22.60 kJ

x = 22.60 kJ/334 kJ/kg

x = 67.7 gm

Answer 2

First, i think of we could decide to appreciate despite while you're talking approximately steam or water vapor. Steam has already condensed into small droplets and has already given up its latent warmth of vaporization. you're able to be able to desire to appreciate the latent warmth of vaporization for water (if water vapor), the warmth launched as that 11 gm of water drops from a hundred tiers C to ) tiers C, and the latent warmth of fusion for the ice that ought to be melted.