Liquid sodium is been considered as an engine coolant. How many grams of liquid

Question

Liquid sodium is been considered as an engine coolant. How many grams of liquid sodium (minimum) are needed to absorb 9.40 MJ of energy (in the form of heat) if the temperature of the sodium is not to increased by more than 10.0°C? Use Cp=30.8J/(Kxmol) for Na(l) at 500 K. Liquid sodium is been considered as an engine coolant. How many grams of liquid sodium (minimum) are needed to absorb 9.40 MJ of energy (in the form of heat) if the temperature of the sodium is not to increased by more than 10.0°C? Use Cp=30.8J/(Kxmol) for Na(l) at 500 K.

Explanation / Answer

Use the following equation to solve the problem

Heat energy absorbed = m X Cp X T

m = mass of substance (in moles)

Cp = specific hea at constant Pressure

Cp = 30.8J/Kmol

T = temperature difference(10oC given )

9.4 X 106 = m X 30.8 X 10

m = 30519.5 moles = 30519.5 X 23 = 701492.53g = 701.49Kg

Molar mass of Na = 23g

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