Match the mold elements in the casting process with the most suitable function:

Let's match the mold elements with their respective functions:
\( \mathbf{P} \) (Blind riser) helps in the function of casting with internal cavity, so \( P-II \).
\( \mathbf{Q} \) (Chill) helps in the faster solidification of metal, so \( Q-IV \).
\( \mathbf{R} \) (Skim bob) is used for removal of impurities, so \( R-V \).
\( \mathbf{S} \) (Core) is used to form internal cavities and features, so \( S-I \).
\( \mathbf{T} \) (Insulating sleeve) helps increase the solidification time by insulating, so \( T-VI \).
\( \mathbf{U} \) (Inoculant) is used to introduce nucleation sites, aiding in the formation of a fine-grained structure, so \( U-III \).
Let a spherical block of ice at -7 °C be exposed to atmospheric air at 30 °C with the gravitational direction as shown in the figure below. What will be the overall direction of air flow in this situation?

Water enters a tube of diameter, \( D = 60 \, {mm} \) with mass flow rate of 0.01 kg/s\(^{-1}\) as shown in the figure below. The inlet mean temperature is \( T_{{in},i} = 293 \, {K} \) and the uniform heat flux at the surface of the tube is 2000 W/m\(^{-2}\). For the exit mean temperature of \( T_{{m},o} = 353 \, {K} \), the length of the tube, \( L \) is _________m (rounded off to 1 decimal place). \[ {Use the specific heat of water as 4181 J kg}^{-1} \, {K}^{-1} \]
A thermal power plant is running with no reheat or regeneration. The specific enthalpy and specific entropy of steam at the turbine inlet are 3344 kJ/kg and 6.5 kJ/kg·K, respectively. The turbine isentropic efficiency is 0.9, and the mass flow rate of steam at the turbine inlet is 102 kg/s. The turbine power output is _________ MW (rounded off to 1 decimal place).