One mole of an ideal monoatomic gas undergoes two reversible processes \(( A \to B \) and \( B \to C \)) as shown in the given figure:
\( A \to B \) is an adiabatic process. If the total heat absorbed in the entire process \(( A \to B \) and \( B \to C \)) is \( RT_2 \ln 10 \), the value of \( 2 \log V_3 \) is _______.
[Use, molar heat capacity of the gas at constant pressure, \( C_{p,m} = \frac{5}{2} R \)]
