A single effect evaporator is required to concentrate a solution of $10\%$ solids to $25\%$ solids at the rate of $200$ kg of feed per hour. Steam is used as a heat source to provide $224,000$ kJ$/$h energy to the solution before it leaves as condensed steam water at $81$ C$.$ If $200,000$ kJ$/$h latent heat is required to evaporate the water from the original solution, how much energy per hour is needed to heat the original solution before evaporation occurs?