Question 13 of 25 Incorrect i Incorrect General Chemistry 4th Edition Map Univer

Question

Question 13 of 25 Incorrect i Incorrect General Chemistry 4th Edition Map University Science Books presented by Sapling Leaming Liquid sodium is being considered as an engine coolant. How many grams of liquid sodium (minimum) are needed to absorb 1.20 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 Op# 30.8 J/(K mol) for Na() at 500 K Number 113 x 10 Explanation Previous Give Up & View Solution # Try Again ) Next E Heat energy, g, is related to molar heat capacity Cp, temperature change, AT, and the number of moles, n, by the formula CAT Calculate n, then convert to grams using the molar mass of sodium.

Explanation / Answer

Given:

Q = 1.20MJ = 1.20*10^6 J

C = 30.8 J/mol.K = 30.8 J/mol.oC

?T = 10 oC

use:

Q = m*C*?T

1.20*10^6 = m*30.8*10.0

m = 3896 mol

Molar mass of Na = 22.99 g/mol

use:

mass of Na,

m = number of mol * molar mass

= 3.896*10^3 mol * 22.99 g/mol

= 9.00*10^4 g

Answer: 9.00*10^4 g

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