The peanut studied had a mass of 0.609 g before combustion and 0.053 g after combustion. The energy released during combustion caused a 14.2 degree Celsius increase in the temperature of 200.0 mL water in the calorimeter. Calculate the mass of peanut burned.
Have I missed something? Isn't the mass burned just 0.609-0.053 = ?g
To find the mass of the peanut burned, we need to use the principle of conservation of energy. The energy released during combustion is equal to the energy absorbed by the water in the calorimeter.
The formula to calculate the energy released during combustion is given by:
Energy released = mass of water × specific heat capacity of water × temperature change
First, we need to find the energy released during combustion. We can use the given information to calculate the energy absorbed by the water in the calorimeter.
So let's calculate the energy released during combustion:
Given:
Mass of water (m) = 200.0 mL = 200.0 g
Specific heat capacity of water (c) = 4.18 J/g°C (at room temperature)
Temperature change (ΔT) = 14.2 °C
Energy released = m × c × ΔT
Energy released = 200.0 g × 4.18 J/g°C × 14.2 °C
Now we have calculated the energy released during combustion. Next, we need to find the mass of the peanut burned. To do that, we can use the concept of energy equivalence:
Energy released during combustion = E = mass of peanut burned × energy content per unit mass
We'll assume the energy content of the peanut is 23.5 kJ/g, which is a typical value for peanuts.
Let's calculate the mass of the peanut burned:
Energy released during combustion = mass of peanut burned × energy content per unit mass
E = mass of peanut burned × 23.5 kJ/g
We know the energy released during combustion from the previous calculation. Therefore,
mass of peanut burned = E / energy content per unit mass
mass of peanut burned = (Energy released during combustion) / 23.5 kJ/g
Plug in the value of the energy released during combustion and solve for the mass of the peanut burned in grams.