A system for reducing carbon dioxide emissions from gases generated in burning fossil fuel, the system comprising: a vessel configured to direct gases generated in burning fossil fuel in an upward flow and having an upper first portion (12,14) and a lower second portion, the upper first portion (12,14) includes a lower combustion zone for burning fossil fuel and an upper reaction zone for capturing carbon dioxide (CO 2), the lower second portion including a reheater, whereby the upper reaction zone receives first type solid particles and second type solid particles, the first type of solid particles being capable of absorbing heat from the gases and flowing downwardly from the upper portion to the lower portion through the vessel to a second vessel discharge and the second type of solid particles being capable of capturing carbon dioxide from the gases and reacting with upward flowing gases to absorb CO 2 from the upward flowing gas, wherein the velocity of the upward flow of gases is sufficient to cause the second type of solid particles to flow with the gases to a first vessel discharge, a separator that separates the second type solid particles with captured CO 2 from the upward flowing gases discharged from the first vessel discharge, and directs the separated second type solid particles with the captured CO 2 to a separator discharge, for discharging the second type solid particles with the captured carbon dioxide from the separator discharge in a downwardly flow to a first reheater discharge; and a drain that permits the flow of the first type of solid particles with absorbed heat from the combustion zone to the reheater and prevents the flow of the second type of solid particles and residual solid particles of the upward flowing gas from the combustion zone to the reheater; wherein the heat provided by the first type of solid particles provides energy to heat the second type solid particles with the captured CO 2 provided from the separator discharge to separate the CO 2 therefrom, and the CO 2 being directed to a reheater discharge. a vessel configured to direct gases generated in burning fossil fuel in an upward flow and having an upper first portion (12,14) and a lower second portion, the upper first portion (12,14) includes a lower combustion zone for burning fossil fuel and an upper reaction zone for capturing carbon dioxide (CO 2), the lower second portion including a reheater, whereby the upper reaction zone receives first type solid particles and second type solid particles, the first type of solid particles being capable of absorbing heat from the gases and flowing downwardly from the upper portion to the lower portion through the vessel to a second vessel discharge and the second type of solid particles being capable of capturing carbon dioxide from the gases and reacting with upward flowing gases to absorb CO 2 from the upward flowing gas, wherein the velocity of the upward flow of gases is sufficient to cause the second type of solid particles to flow with the gases to a first vessel discharge, a separator that separates the second type solid particles with captured CO 2 from the upward flowing gases discharged from the first vessel discharge, and directs the separated second type solid particles with the captured CO 2 to a separator discharge, for discharging the second type solid particles with the captured carbon dioxide from the separator discharge in a downwardly flow to a first reheater discharge; and a drain that permits the flow of the first type of solid particles with absorbed heat from the combustion zone to the reheater and prevents the flow of the second type of solid particles and residual solid particles of the upward flowing gas from the combustion zone to the reheater; wherein the heat provided by the first type of solid particles provides energy to heat the second type solid particles with the captured CO 2 provided from the separator discharge to separate the CO 2 therefrom, and the CO 2 being directed to a reheater discharge.