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q (heat energy in Joules) = mass * specific heat * change in temp

1st problem:

q = (100 g H2O)(4.180 J/gC)(100 C - 50 C)

= 20900 Joules

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2nd problem:

q = (100 g H2O)(4.180 J/gC)(70 C - 60 C)

= 4180 Joules

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As you can see from 50 C to 100 C takes much more heat energy as one would intuitively think, 20900 J/4180 J = 5 times as much energy.

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