We are asked to calculate the enthalpy of saturated steam at a temperature of $210^\circ C$ and a mass of $10 kg$.

1. Problem Description

We are asked to calculate the enthalpy of saturated steam at a temperature of $210^\circ C$ and a mass of $10 kg$.

2. Solution Steps

To find the enthalpy of saturated steam, we need to use steam tables. The steam table gives the specific enthalpy ($h$) of saturated steam at different temperatures. Since we have the temperature $T = 210^\circ C$ and the mass $m = 10 kg$, we can find the specific enthalpy from steam tables. The specific enthalpy of saturated steam at $210^\circ C$ is approximately $h = 2791.5 kJ/kg$.

The total enthalpy $H$ is given by the product of mass $m$ and specific enthalpy $h$:

$H = m \cdot h$

Substituting the given values, we get:

$H = 10 kg \cdot 2791.5 kJ/kg$

$H = 27915 kJ$

3. Final Answer

The enthalpy of saturated steam is $27915 kJ$.