The tank of a water heater (Figure 6-6) has V = 80 L and is initially sealed

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The tank of a water heater (Figure 6-6) has V = 80 L and is initially sealed and full of water at T = 130°F and P = 1 atm. The water heater is designed to maintain the water at this temperature, but due to a fault in the temperature sensor, the heating element comes on and remains on. The temperature of the water increases, but there is no space into which the water can expand. The tank has a pressure relief value that is designed to open at P = 10 atm. At what water temperature will this occur? For this example assume the isothermal compressibility and coefficient of thermal expansion of water are constant at  aV =2.90 X 10-4F- and K, = 4.50 X 10- atm .P= 1 atm T = 130F V = 80 L P = 10 atm T = ? V = 80 L FIGURE 6-6 Isochoric heating of a water heater.

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