Thermal Properties - Specific heat.

AI Thread Summary
The discussion revolves around a calorimetry problem involving a calorimeter containing water and ice, with steam being introduced to raise the temperature to 30°C. The specific heat capacities for copper, water, and ice, as well as the latent heats for fusion and vaporization, are provided for calculations. The user attempts to apply the heat transfer equations Q=mcΔθ and Q=ml but struggles with the calculations. The main focus is on determining the total heat required to raise the temperature of all components and identifying the source of that heat, which is the steam condensing. The conversation emphasizes the need to accurately account for all components' heat contributions to solve the problem.
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Homework Statement


A well lagged calorimeter of mass 120g contains 200g of water and 50g of ice, initial at 0°C. A jet of steam is blown through the water until the water temperature reaches 30°C.

Calculate the mass of steam that must condensed.

The specific heat capacity of Copper: 380Jkg-1K-1
The specific heat capacity of Water: 4200Jkg-1K-1
The specific heat capacity of Ice: 2100Jkg-1K-1

The specific latent heat of fusion of Ice: 3.25x105 Jkg-1
The specific latent heat of vaporization of Water: 2.25x106Jkg-1


Homework Equations


Q=mcΔθ
Q=ml

The Attempt at a Solution


My attempt was using Q=mcΔθ, for water (200x-3) x (4200) x (30) = 25200Jkg-1K-1

And similar for Ice

(50x10-3)x(2100)x(30)=3150Jkg-1K-1


However to me it doesn't look like I'm going anywhere.. any help will be appreciated.
 
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Determine all the components that need to be warmed up. Calculate the total heat that needs to be added in order to bring all of those components to the final temperature.

Where's the heat going to come from?
 

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