The molar heat capacity of silver is 25.35j/mol C . How much energy would it take to raise the temperature of 9.30 grams of silver by 12.0 C?
To calculate the amount of energy required to raise the temperature of a substance, we can use the formula:
Energy = mass * temperature change * molar heat capacity
Given:
Mass of silver (m) = 9.30 grams
Temperature change (ΔT) = 12.0 °C
Molar heat capacity (C) = 25.35 J/mol·°C
First, we need to convert the mass of silver from grams to moles. To do this, we'll use the molar mass of silver.
The molar mass of silver (Ag) is approximately 107.87 g/mol.
Number of moles (n) = mass / molar mass
= 9.30 g / 107.87 g/mol
≈ 0.0863 mol
Now, we can calculate the energy using the formula mentioned above:
Energy = mass * temperature change * molar heat capacity
= 9.30 g * 12.0 °C * 25.35 J/mol·°C
However, we need to convert grams to moles before calculating the energy, so let's use the number of moles we calculated:
Energy = n * ΔT * C
= 0.0863 mol * 12.0 °C * 25.35 J/mol·°C
Calculating this expression will give us the answer to the question.