A copper calorimeter of mass 150g, was half filled with water of mass 300g and temperature 0 degrees celcius. 5g of ice at 0 degrees celcius was added to the content, later some quanity of steam was passed into the mixture and the temperature rose by 20 degrees celcius. Calculate the quantity of steam added. (specific latent heat of vaporisation of steam= 2.26 * 10^6j/kg, specific heat of copper=400j/kg/k).

To solve this problem, we need to consider the heat exchanged between different substances involved.

First, let's calculate the heat exchanged when the ice melts and reaches 0 degrees Celsius:

1. Heat exchanged with ice = Mass of ice * Specific latent heat of fusion of ice
Heat exchanged with ice = 5g * 334000 J/kg (Specific latent heat of fusion of ice)

Next, let's calculate the heat exchanged when the temperature of water increases from 0 degrees Celsius to the final temperature (20 degrees Celsius in this case):

2. Heat exchanged with water = Mass of water * Specific heat capacity of water * Temperature change
Heat exchanged with water = 300g * 4.18 J/g°C * 20°C

Then, let's calculate the heat exchanged with the copper calorimeter during the process:

3. Heat exchanged with calorimeter = Mass of calorimeter * Specific heat of copper * Temperature change
Heat exchanged with calorimeter = 150g * 400 J/kg°C * 20°C

Finally, the total heat exchanged can be used to determine the amount of steam added:

Total heat exchanged = Heat exchanged with ice + Heat exchanged with water + Heat exchanged with calorimeter + Heat to vaporize steam

Since we know the total heat exchanged and the specific latent heat of vaporization for steam, we can rearrange the equation to find the heat to vaporize steam:

Heat to vaporize steam = Total heat exchanged - (Heat exchanged with ice + Heat exchanged with water + Heat exchanged with calorimeter)

Once we have the heat to vaporize steam, we can divide it by the specific latent heat of vaporization of steam to find the quantity of steam added:

Quantity of steam added = Heat to vaporize steam / Specific latent heat of vaporization of steam

Substituting the given values and calculating the equation will give us the quantity of steam added.