  We present the scale-setting function and the equation of state of the pure
SU(2) gauge theory using the gradient flow method. We propose a reference scale
t0 for the SU(2) gauge theory satisfying $t^2\langle E \rangle|_{t=t_0} = 0.1$.
This reference value is fixed by a natural scaling-down of the standard
t0-scale for the SU(3) gauge theory based on the perturbative analyses. We also
show the thermodynamic quantities as a function of $T/T_c$, which are derived
by the energy-momentum tensor using the small flow time expansion of the
gradient flow.
