A sample of sulfer, mass 2.56 g is burned in excess oxygen inside a calorimeter of heat capacity 923JK and insulated by 815g of water. If the sole product of combustion is SO2, what is the expected increase in temperature?
I don't need the answer, just the solution so I can find the answer myself please
To find the expected increase in temperature, we can use the principle of conservation of energy.
First, let's calculate the heat released during the combustion of sulfur.
1. Determine the moles of sulfur:
Using the molar mass of sulfur (32.07 g/mol), we can calculate the number of moles:
moles = mass / molar mass = 2.56 g / 32.07 g/mol
2. Calculate the moles of water produced:
Since SO2 is the sole product of combustion, the balanced chemical equation is:
S + O2 → SO2
From the equation, we can see that 1 mole of sulfur produces 1 mole of SO2. Therefore, the moles of SO2 produced will be the same as the moles of sulfur burned.
3. Calculate the heat released during the combustion:
Using the molar enthalpy of formation (ΔHf) of SO2, which is -296.83 kJ/mol, we can determine the heat released:
Heat released = moles of SO2 × ΔHf
4. Determine the heat absorbed by the water:
The heat absorbed by the water is equal to the heat released during the combustion (according to the principle of conservation of energy).
Heat absorbed by water = Heat released
5. Calculate the change in temperature:
Using the equation:
Heat absorbed = mass of water × specific heat capacity of water × change in temperature, we can solve for the change in temperature:
Change in temperature = Heat absorbed / (mass of water × specific heat capacity of water)
By following these steps, you should be able to find the expected increase in temperature.
To find the expected increase in temperature, you can follow these steps:
1. Determine the heat released by the combustion of sulfur:
- The molar mass of sulfur (S) is approximately 32.06 g/mol.
- Calculate the number of moles of sulfur using its mass: moles = mass / molar mass.
- Since sulfur is fully combusted to form SO2, the balanced chemical equation is: S + O2 -> SO2.
- From the balanced equation, you can see that 1 mol of sulfur releases 1 mol of SO2.
- Therefore, the moles of SO2 produced in the combustion is the same as the moles of sulfur burned.
- Use the molar heat of combustion (∆H comb) of sulfur to calculate the heat released:
Heat released = moles of sulfur burned × ∆H comb of sulfur.
2. Determine the heat absorbed by the water in the calorimeter:
- The heat absorbed by the water can be calculated using the formula:
Heat absorbed = mass of water × specific heat capacity of water × change in temperature.
- The specific heat capacity of water is approximately 4.18 J/g°C.
- The change in temperature is the expected increase in temperature you are trying to find.
3. Set up an energy balance equation:
- Since the system is insulated, the heat released by the combustion of sulfur is equal to the heat absorbed by the water:
Heat released = Heat absorbed.
- Set the equations for heat released and heat absorbed equal to each other and solve for the change in temperature.
4. Substitute the given values into the equation and solve:
- Mass of sulfur = 2.56 g.
- Mass of water = 815 g.
- Heat capacity of the calorimeter = 923 J/K.
- Molar heat of combustion of sulfur (∆H comb) = Given in a reference source.
By following these steps and substituting the given values into the appropriate equations, you should be able to calculate the expected increase in temperature of the water.