A sample of $H_2O$ with a mass of 46.0 grams has a temperature of -58.0°C. How many joules of energy are necessary to heat the ice to 0°C?

Question

Use 2.1 J/g°C for the specific heat of ice.

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Answer 1 · 2016-05-22T20:55:25

5496.1 J

$q = m xx DeltaT xx c$

$q$ - amount of heat
$m$ - mass
$c$ - specific heat capacity
$DeltaT$ - Temperature difference

Given:

$"m = 46 g"$

$"T = -58"^@"C"$

$c = "2.06 J/g"cdot""^@"C"$ (You have to look this up)

I recommend drawing the diagram of ice melting.

$q = (46.0cancel("g")) xx [0 - (-58)cancel(""^@"C")] xx (2.06 J/(cancel("g") cdot cancel(""^@"C"))) = "5496.1 J"$