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Determine the amount of heat, in kJ, required to heat 16 g of solid Ca at 851C to 1,375 C. Meltin...

Determine the amount of heat, in kJ, required to heat 16 g of solid Ca at 851C to 1,375 C.

Melting Point = 851C Boiling Point = 1487C

Molar Heat Capacities:

Csolid​ = 26.2 J/mol C

C liquid​ = 31.0 J/molC

ΔH_fusion​ = 9.33 kJ/mol

ΔH_vaporization​ = 162 kJ/mol

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Answer #1

16 g Ca = mass / molar mass = 16 g / 40 g / mole = 0.40 mole.

HEAT REQUIRED = n1 *  ΔH_fusion + m1 * C liquid * dT1 (from 851 to 1375 oC)

or

HEAT REQUIRED = 0.40 mole *  (9.33 * 1000) J/mole + 16 g * 31.0 J/molC * (1375 - 851) oC

or

HEAT REQUIRED = 3732 + 259904

or

HEAT REQUIRED = 263636 J = 263.6 KJ (answer)

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