A container is divided into two compartments by a removable partition as shown below :

In the first compartment `n_1` moles of ideal gas He is present in a volume `V_1` . In the second compartment, `n_2` moles of ideal gas Ne is present in a volume `V_2`. The temperature and pressure in both the compartments are T and P repectively. Assuming R is the gas constant. the total change is entropy upon removing the partition when the gases mix irreversibly is :

Options

A. `n_1R "ln"(v_1)/(v_1+v_2) +n_2 R "ln"(v_2)/(v_1+v_2)`
B. `n_1 R "ln"(v_1 + v_2)/(v_1) + n_2R "ln" (v_1+v_2)/(v_2)`
C. `(n_1+n_2)R"ln "(n_1v_1)/(n_2v_2)`
D. `(n_1 + n_2)R "ln" (n_2v_2)/(n_1v_1)`