50 g of water at 80 degrees C is mixed with 50 g of water at 20 degrees C. The final temperature is:

The latent heat of vaporization of water is:

During the melting of ice at 0 degrees C, the temperature:

20 g of ice at 0 degrees C is mixed with 20 g of water at 40 degrees C. The final temperature is: <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 400 180" style="max-width:400px;width:100%;height:auto;background:#faf9f5;border-radius:12px;border:1px solid rgba(20,20,19,0.10)"> <title>Calorimetry — ice at 0°C mixed with warm water at 40°C</title> <defs> <marker id="ah-q030a" markerWidth="8" markerHeight="6" refX="8" refY="3" orient="auto"><polygon points="0,0 8,3 0,6" fill="#c6613f"/></marker> </defs> <!-- Ice container --> <rect x="30" y="50" width="100" height="80" rx="8" fill="#788c5d" opacity="0.12" stroke="#788c5d" stroke-width="1.5"/> <text x="80" y="82" text-anchor="middle" font-size="12" font-weight="600" fill="#788c5d">Ice</text> <text x="80" y="98" text-anchor="middle" font-size="11" fill="#788c5d">20 g, 0°C</text> <text x="80" y="114" text-anchor="middle" font-size="10" fill="#14140f">needs 1600 cal</text> <text x="80" y="126" text-anchor="middle" font-size="10" fill="#14140f">to fully melt</text> <!-- Arrow --> <line x1="140" y1="90" x2="170" y2="90" stroke="#c6613f" stroke-width="2" marker-end="url(#ah-q030a)"/> <!-- Water container --> <rect x="180" y="50" width="100" height="80" rx="8" fill="#c6613f" opacity="0.12" stroke="#c6613f" stroke-width="1.5"/> <text x="230" y="82" text-anchor="middle" font-size="12" font-weight="600" fill="#c6613f">Water</text> <text x="230" y="98" text-anchor="middle" font-size="11" fill="#c6613f">20 g, 40°C</text> <text x="230" y="114" text-anchor="middle" font-size="10" fill="#14140f">gives only</text> <text x="230" y="126" text-anchor="middle" font-size="10" fill="#14140f">800 cal</text> <!-- Result --> <rect x="295" y="60" width="90" height="60" rx="8" fill="#14140f" opacity="0.05" stroke="#14140f" stroke-width="1.5"/> <text x="340" y="82" text-anchor="middle" font-size="10" font-weight="600" fill="#14140f">Result:</text> <text x="340" y="96" text-anchor="middle" font-size="11" font-weight="700" fill="#c6613f">0°C</text> <text x="340" y="110" text-anchor="middle" font-size="9" fill="#14140f">10g ice left</text> <!-- Key insight --> <text x="200" y="165" text-anchor="middle" font-size="11" font-weight="600" fill="#14140f">800 cal &lt; 1600 cal → partial melt only</text> </svg>

The specific heat capacity of water is: