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Day 54 MCAT Practice Question

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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
Click to reveal answer
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.
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