Mercury freezes at -40oC. How many Joules of heat energy would you need to heat 2.0 g of Hg(l) from the freezing point to the boiling point (356.6oC)? The specific heat of mercury is 0.14 J/(g*oC).
Solution:
Assume that there are no phase transitions (solid → liquid and liquid → gas) and mercury (Hg) remains liquid in the whole temperature range (from -40°C to 356.6°C).
q = m × C × ΔT
q = m × C × (Tf - Ti),
where:
q = amount of heat energy gained or lost by substance (J)
m = mass of sample (g)
C = specific heat capacity (J °C-1 g-1)
Tf = final temperature (°C)
Ti = initial temperature (°C)
Thus:
q = (2.0 g) × (0.14 J °C-1 g-1) × (356.6 - (-40))°C = 111.048 J = 111.05 J
q = 111.05 Joules
Answer: 111.05 Joules of heat energy would you need.
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