One mole of ideal gas taken through a cycle process with alternate isothermal and adiabatic curves. In $P-V$ diagram $AB, CD, EF$ are isothermal curves at the absolute temperature $T_1, T_2$ and $T_3$ respectively and $BC, DE$ and $FA$ are adiabatic curves respectively. If $\frac{{{V_B}}}{{{V_A}}} = 2,\,\frac{{{V_D}}}{{{V_C}}} = 2$ then for cycle is shown in figure four statements are being made given below. (Figure is not drawn on scale)
Statement $1$ : Ratio of volumes $\frac{{{V_E}}}{{{V_F}}} = 4$
Statement $2$ : Magnitude of work done in isothermal compression $EF$ is $2RT_3\ ln\ (2)$
Statement $3$ : Ratio of heat supplied to gas in the process $AB$ to heat rejected by gas in process $EF$ is $\frac{{{T_1}}}{{2{T_3}}}$
Statement $4$ : Net work done by gas in the cycle $ABCDEFA$ is $(T_1 + T_2 - 2T_3) R\ ln\ (2)$
Find the number of correct statement $(s)$ given for the cyclic process followed by gas
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