Calculate the mass of steam condensed

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SUMMARY

The discussion focuses on calculating the mass of steam condensed when a jet of steam at 100 degrees Celsius is introduced to ice. The final mass of water collected is 206 grams, with specific heat capacities of water (4200 J/kg·°C) and ice (2100 J/kg·°C), along with latent heats of fusion (330 J/g) and vaporization (2260 J/g) provided. The correct mass of steam condensed is determined to be 22.6 grams, contrasting with an incorrect calculation of 68.5 grams. Key steps include accounting for the cooling of condensed steam from 100 to 0 degrees Celsius.

PREREQUISITES
  • Understanding of specific heat capacity and its application in thermal calculations.
  • Knowledge of latent heat of fusion and vaporization.
  • Basic principles of heat transfer and phase changes in materials.
  • Ability to perform mass and energy balance calculations.
NEXT STEPS
  • Review calculations involving specific heat capacity in thermal energy problems.
  • Study the principles of latent heat and its role in phase changes.
  • Learn about energy conservation in thermodynamic systems.
  • Practice problems involving steam and ice interactions to solidify understanding.
USEFUL FOR

Students in physics or engineering, educators teaching thermodynamics, and anyone involved in thermal energy calculations will benefit from this discussion.

Cervelo
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A jet of steam @ 100 degrees Celsius is directed into a hole in a large block of ice. After the steam has switched off, the condensed steam and melted ice are both a 0 degrees Celsius. The mass of water collected is 206 g. Calculate the mass of steam condensed.
Specific heat capacity of water is 4200
Specific heat capacity of ice is 2100
Latent heat of fusion is 330
Latent heat of vaporization is 2260
I keep on getting 68.5g as an answer but apparently it is 22.6g
Please help me with showing the steps.
Thank you
 
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Cervelo said:
A jet of steam @ 100 degrees Celsius is directed into a hole in a large block of ice. After the steam has switched off, the condensed steam and melted ice are both a 0 degrees Celsius. The mass of water collected is 206 g. Calculate the mass of steam condensed.
Specific heat capacity of water is 4200
Specific heat capacity of ice is 2100
Latent heat of fusion is 330
Latent heat of vaporization is 2260
I keep on getting 68.5g as an answer but apparently it is 22.6g
Please help me with showing the steps.
Thank you

Those figures on heat are a bit misleading.
I think some of them refer to the number of Joules to change 1 kilogram by 1 degree, while others refer to how many Joules are needed to melt/vaporise on 1 gram of material.
What temperature did the ice start at?
Did you allow for the fact that once the steam condenses, it then has to cool from 100 to 0.
 

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