Saturated steam coming off the turbine of a steam power plant at 30^∘ C condenses on the outside

step 1 The rate of heat transfer from the steam to cooling water will be given by Q .D. equals the rate

Saturated steam coming off the turbine of a steam power...

Saturated steam coming off the turbine of a steam power plant at $30^{\circ} \mathrm{C}$ condenses on the outside of a $4-\mathrm{cm}$-outerdiameter, 20 -m-long tube at a rate of $45 \mathrm{~kg} / \mathrm{h}$. Determine the rate of heat transfer from the steam to the cooling water flowing through the pipe.

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Key Concepts

Latent Heat of Vaporization/Condensation

This concept refers to the amount of energy released or absorbed during a phase change without a change in temperature. In the context of steam condensing, the latent heat is the energy released as steam changes into water. This energy release is what drives the heat transfer process in condensers.

Mass Flow Rate and Energy Transfer Calculation

This concept involves relating the mass flow rate of the condensing steam to the rate at which energy is transferred. By multiplying the mass flow rate by the latent heat of condensation, one can determine the total rate of heat transfer. It’s essential to account for proper unit conversions (e.g., from kg/h to kg/s) to ensure accurate calculations.

Phase Change Energy Balance

This principle involves applying the law of energy conservation to processes where a substance changes phase. The energy released during condensation (or absorbed during evaporation) must equal the energy removed (or provided) by the cooling system. This balance is used widely in thermal system analyses, especially in condensers and boilers.

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