Thermal Properties - Specific heat.

In summary, the problem involves a well lagged calorimeter with 200g of water and 50g of ice, initially at 0°C, that is heated with a jet of steam until the final temperature reaches 30°C. The specific heat capacities and specific latent heats of fusion and vaporization are given for copper, water, and ice. The equations Q=mcΔθ and Q=ml are used to determine the total heat that needs to be added in order to bring all components to the final temperature. The specific heats are calculated for the water and ice separately, but it is unclear how to proceed. The source of the heat is not provided.
  • #1
FlyingSpartan
5
0

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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  • #2
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?
 

What is specific heat?

Specific heat is a physical property that measures the amount of heat required to raise the temperature of a substance by one degree Celsius or Kelvin.

How is specific heat measured?

Specific heat is typically measured using a calorimeter, which is a device that can accurately measure changes in temperature. The substance is heated or cooled and the change in temperature is recorded, along with the amount of heat added or removed.

What factors affect the specific heat of a substance?

The specific heat of a substance is affected by its mass, composition, and molecular structure. Generally, substances with a higher molecular weight and more complex molecular structure have a higher specific heat.

Why is specific heat important in science and engineering?

Specific heat is important in science and engineering because it helps us understand how different substances respond to changes in temperature and how much energy is required to heat or cool a substance. This information is crucial in fields such as thermodynamics, materials science, and energy production.

How does specific heat differ between different substances?

Specific heat can vary greatly between different substances. For example, water has a very high specific heat compared to most other substances, meaning it requires a lot of energy to change its temperature. On the other hand, metals have a much lower specific heat and can change temperature more easily.

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