Passage 9: Thermodynamics
In a series of experiments that investigated the thermodynamics of phase changes,
the journey of a water molecule as it transitions from ice to steam and back to
liquid water was documented. It began with a block of ice at -10°C, which was
gradually heated with a controlled heat source. The ice melted, boiled into steam,
and finally condensed back into water. Temperature changes were meticulously
recorded, and heat input at each stage was determined via sensors on the heat
source.
The previous results applied to an open system (the water was open to the
atmosphere). The team also monitored how energy input values changed when a
closed system was used instead. They found that the amount of energy required
to boil the water was dramatically affected by this adjustment, but not the energy
required to melt the ice.
With your knowledge of the properties of water, approximately how many
grams of H2O were in the initial block of ice?
A) 100 grams
B) 1000 Grams
C) 10,000 grams
D) 200 grams
Correct answer: B. To find the mass of water, we have to use the
given energy required to heat the water from 0°C to 100°C and the fact that the
specific heat capacity of water is approximately 4.18 J/g·°C. Given that it took 420
kJ (420,000 J) to heat the water from 0°C to 100°C, we use the formula Q = mcΔT.
420,000J = m x (4.814 J/g·°C) x 100°C
m = 420,000J / ((4.814 J/g·°C) x 100°C)
m = 1005g
Therefore, B is the best answer.