Liquid sodium is being considered as an engine coolant. How many grams of liquid sodium (minimum) are needed to absorb 1.00 MJ of energy (in the form of heat) if the temperature of the sodium is not to increase by more than 10.0 °C? Use CP = 30.8 J / (K·mol) for Na (l) at 500 K.

Question

Aarav Pacheco

Chemistry

16 September, 02:15

Liquid sodium is being considered as an engine coolant. How many grams of liquid sodium (minimum) are needed to absorb 1.00 MJ of energy (in the form of heat) if the temperature of the sodium is not to increase by more than 10.0 °C? Use CP = 30.8 J / (K·mol) for Na (l) at 500 K.

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Matteo Stein · Answer 1

Energy absorb is calculated as the product of mass, specific capacity and the change in temperature. It is expressed as:

H = nCpΔT

where n is the moles of substance, Cp is the specific heat capacity and ΔT is the change in temperature.

1 x 10^6 J = n (30.8 J/k mol) (10 K)

n = 3246.75 mol

mass = 74642.86 g liquid sodium