The spectral energy distribution of star is maximum at twice temperature as that of sun. The total energy radiated by star is
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From Stefan's law of radiation, the total radiant energy emitted per second per unit surface area of a black body is proportional to the fourth power of the absolute temperature (T) of the body.
Therefore, $E = \sigma T^{4}$ where $\bar{\sigma}$ is Stefan's constant.
Given, $T = 2T_s$
$\therefore \mathrm{E}' = \sigma (2 \mathrm{T}_\mathrm{S})^4 = 16 \sigma \mathrm{T}_\mathrm{S}^4 = 16 \mathrm{E}_\mathrm{S}$
Hence, total energy radiated by star is sixteen times as that of the sun.
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