A copper Calorimeter of mass 150g,was half-filled with water of mass 300g and a temperature of 0°C.5g of ice of mass 0°C was added to the content, later some quantity of steam was passed into the mixture and the temperature rose by 20°C. Calculate the quantity of steam added.
Where is your attempt to solve this problem?
Where have you listed:
specific heat of Cu
specific heat of water
heat of fusion of water
heat of vaporization of water
I assume the steam is at 100 deg C
To calculate the quantity of steam added, we need to determine the amount of heat gained by the system. We can do this by considering the energy transferred to each component of the mixture.
Let's break down the heat gained by the mixture into three parts:
1. Heat gained by the water:
- Mass of water = 300g
- Specific heat capacity of water = 4.186 J/g°C (Joules per gram per degree Celsius)
- Change in temperature of water = 20°C
- Heat gained by the water = (mass of water) x (specific heat capacity of water) x (change in temperature of water)
2. Heat gained by the copper calorimeter:
- Mass of calorimeter = 150g
- Specific heat capacity of copper = 0.387 J/g°C
- Change in temperature of calorimeter = 20°C
- Heat gained by the calorimeter = (mass of calorimeter) x (specific heat capacity of copper) x (change in temperature of calorimeter)
3. Heat required to melt the ice:
- Mass of ice = 5g
- Heat required to melt ice = (mass of ice) x (heat of fusion of ice) = (mass of ice) x (334 J/g)
Now, add up the three parts to get the total heat gained by the system:
Total heat gained = (heat gained by the water) + (heat gained by the calorimeter) + (heat required to melt the ice)
Next, we need to consider the heat gained by steam during condensation. When steam loses heat and condenses into liquid water, it releases heat known as the heat of condensation. For every gram of steam that condenses, it releases 2260 J of heat.
So, the quantity of steam added can be calculated by dividing the total heat gained (in Joules) by the heat of condensation (2260 J/g).
Quantity of steam added = (Total heat gained) / (Heat of condensation)
By substituting the values into the equations, you should be able to calculate the quantity of steam added.