A thermodynamical process is represented by the cycle shown below in which 0.1 mol of a perfect gas undergoes the reversible cyclic process $$A \rightarrow B \rightarrow C \rightarrow D \rightarrow A$$. Given that $$C_{v,m} = \frac{3}{2}R$$ independent of temperature and that all symbols have their usual meaning, identify the correct statements.

A

$$T_B = 365.8\ \text{K}$$

B

$$q_{B \rightarrow C} = 760.5\ \text{J}$$

C

$$w_{B \rightarrow C} = -30\ \text{J}$$

D

$$\left(\frac{\partial U}{\partial V}\right)_T = 0$$ for a perfect gas