JEE Advanced 2023 Chemistry question on Chemical Thermodynamics

One mole of an ideal monoatomic gas undergoes two reversible processes (A $\rightarrow$ B and B $\rightarrow$ C) as shown in the given figure:

A $\rightarrow$ B is an adiabatic process. If the total heat absorbed in the entire process (A $\rightarrow$ B and B $\rightarrow$ C) is $RT_2 \ln 10$, the value of $2\log V_3$ is ___.

[Use, molar heat capacity of the gas at constant pressure, $C_{\text{p,m}} = \dfrac{5}{2}\text{R}$]