Final answer:
To find the energy required to raise the temperature of 9.90 grams of silver by 19.5°C, first convert the mass to moles, then use the molar heat capacity to calculate the energy needed. Approximately 45.12 joules of energy is required for the temperature increase.
Step-by-step explanation:
The question asks how much energy it would take to raise the temperature of 9.90 grams of silver by 19.5°C. To calculate this, we need to use the formula q = mcΔT, where q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. However, since the heat capacity provided is in terms of moles, we first need to convert the mass of silver to moles using the molar mass of silver, which is 107.87 g/mol. After finding the number of moles, we can then calculate the energy using the molar heat capacity.
First step: Convert mass to moles.
Moles of Ag = 9.90 g / 107.87 g/mol = 0.0917 moles.
Second step: Calculate energy.
q = moles * molar heat capacity * temperature change
q = 0.0917 moles * 25.35 J/mol°C * 19.5°C
q = 45.12 J
Therefore, it would take approximately 45.12 joules of energy to raise the temperature of 9.90 grams of silver by 19.5°C.