What is the final temperature of the aluminum can after heating water?

In summary, the problem involves finding the final temperature of an aluminium can after 1.0 g of water at 28 degree Celsius is placed into it at 300 degree Celsius. We are given the specific heat capacities of aluminium and water, as well as the specific latent heat of water. To solve, we need to calculate the total amount of heat needed to raise the temperature of 1 g of water from 28 degree Celsius to 100 degree Celsius and then evaporate it into steam at 100 degree Celsius. This amount of heat will then be lost by the aluminium can, allowing us to find its final temperature.
  • #1
thereddevils
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Homework Statement



1.0 g of water at 28 degree celcius is placed into a 200g aluminium can at 300 degree celcius. What is the temperature of the aluminium can after all the water vapourises? Given the specific heat capacity of aluminium, 900 J/kg/degree celcius and water, 4200 and specific latent heat of water, 2.26 x 10^6 J/kg assuming no heat is loss to the surrounding.

Homework Equations





The Attempt at a Solution



I am not sure how to go about when it comes to combined specific heat capacity. Do we simply add them up?
 
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  • #2
Find the amount of heat needed to rise the temperature of 1 g of water from 28 degree celsius to 100 degree celsius.
Next find amount of heat needed to evaporate 1 g of water from 100 degree celsius to 1 g of steam at 100 degree celsius. Find the total amount of heat.
This much heat is lost by the aluminum can.
 
  • #3
rl.bhat said:
Find the amount of heat needed to rise the temperature of 1 g of water from 28 degree celsius to 100 degree celsius.
Next find amount of heat needed to evaporate 1 g of water from 100 degree celsius to 1 g of steam at 100 degree celsius. Find the total amount of heat.
This much heat is lost by the aluminum can.

thank you.
 

What is specific heat capacity?

Specific heat capacity is the amount of heat energy required to raise the temperature of one gram of a substance by one degree Celsius. It is often represented by the symbol "C" and is measured in units of joules per gram per degree Celsius (J/g·°C).

How is specific heat capacity different from heat capacity?

Specific heat capacity is a measure of the amount of heat energy required to raise the temperature of a specific amount of a substance by a specific amount, while heat capacity is a measure of the amount of heat energy required to raise the temperature of an entire object by a specific amount. Specific heat capacity takes into account the mass of the substance, while heat capacity does not.

What factors affect specific heat capacity?

The specific heat capacity of a substance is affected by its chemical composition, density, and phase (solid, liquid, or gas). It can also be affected by changes in pressure and temperature.

Why is specific heat capacity important?

Specific heat capacity is important because it helps us understand the amount of energy needed to raise the temperature of a substance, which is essential for many industrial and scientific processes. It also helps us understand how heat is transferred within a substance and between different substances.

How is specific heat capacity measured?

Specific heat capacity is typically measured using a calorimeter, which is a device that can accurately measure the amount of heat energy absorbed or released by a substance. The substance is heated or cooled and its temperature change is measured, along with the amount of heat energy added or removed. This information is then used to calculate the specific heat capacity.

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