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Heat required to heat up a solid/liquid = m c ΔT
Heat required to change a solid into a liquid = m ΔHfus

At 1857.00°C, Cr (chromium) changes from solid to liquid.

Energy needed to change solid Cr from 1833.00°C to 1857.00°C
= (29.50 g) × (0.4600 J/g°C) × [(1857.00 - 1833.00)°C]
= 325.68 J

Energy needed to change solid Cr to liquid Cr at 1857.00°C
= (29.50 g) × (281.5 J/g)
= 8304.25 J

Energy needed to change liquid Cr from 1857.00°C to 1999.00°C
= (29.50 g) × (0.9370 J/g°C) × [(1999.00 - 1857.00)°C]
= 3925.093 J

Total heat needed to change Cr from 1833.00°C to 1999.00°C
= (325.68 + 8304.25 + 3925.093) J
= 12560 J  (to 4 sig. fig.)
= 12.56 kJ

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