Final answer:
The total heat capacity of an ideal monatomic gas at constant volume cannot be determined without knowing the number of moles or having additional information to calculate it.
Step-by-step explanation:
To find the total heat capacity of an ideal monatomic gas at a constant volume, we use the formula for molar heat capacity at constant volume, Cv, which for an ideal monatomic gas is 3/2 R. R, which is the gas constant, has a value of 8.314 J/(mol·K). However, since the volume is given and there is no information about the number of moles, we can't calculate total heat capacity directly. For a specific amount of substance, we would multiply Cv by the number of moles (η), but in this question, the number of moles is unspecified.
If the number of moles were known, the heat capacity could be calculated as follows:
C = η * (rac{3}{2} * R)
Without the number of moles, or information to determine it, the total heat capacity for this system cannot be determined. More data is required to answer this question correctly.