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How many kJ of heat are necessary to melt 32 grams of ice at -10 °C and boil it all away as water vapor?

Hint: Do this problem in steps! Four steps to be exact!

You will need the following information:

  • Specific heat capacity of ice (this is the slope of the first part of the graph below): 2.1 kJ/kg per °C
  • Latent heat of melting (fusion) of ice (this is the length of the first plateau on the graph): 335 kJ/kg (note there is no temperature change associate with latent heat).
  • Specific heat capacity of water (this is the next slope on the graph): 4.2 kJ/kg per °C
  • Latent heat of vaporization of water (the final plateau on the graph): 2260 kJ/kg (note this is a huge number and again, the temperature does not increase as the water vaporizes).
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Q: How many kJ of heat are necessary to melt 32 grams of ice at -10 degree C and boil it all away as water vapor?
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