Steam at $260\backslash$deg C and $7\mathrm{.}00$ bar absolute is expanded through a nozzle to $200\backslash$deg C and $4\mathrm{.}00$ bar. Negligible heat is transferred from the nozzle to its surroundings. The approach velocity of the steam is negligible. The specific enthalpy of steam is $2974$ J$/$kg at $260\backslash$deg C and $7$ bar and $2860$ kJ$/$kg at $200\backslash$deg C and $4$ bar. Work and potential energy is also negligible. Calculate the exit steam velocity.