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ABCTE Chemistry ( Chemistry) Practice Tests & Test Prep by Exam Edge - Free Test


Our free ABCTE Chemistry (CHEM) Practice Test was created by experienced educators who designed them to align with the official American Board for Certification of Teacher Excellence content guidelines. They were built to accurately mirror the real exam's structure, coverage of topics, difficulty, and types of questions.

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ABCTE Chemistry - Free Test Sample Questions

The temperature of twelve (12) grams of a substance with a specific heat of 0.477 cal/g-oC is 18oC. What will the temperature of this substance be after it is heated with 130 cal of energy (q = mCΔT)?

Correct Answer:
40.7 oc.
to solve the problem of determining the new temperature of a substance after it has absorbed a specific amount of heat energy, we need to apply the concept of heat transfer and the formula for specific heat capacity. the fundamental equation used in such calculations is: \[ q = mc\delta t \] where: - \( q \) is the amount of heat added (in calories), - \( m \) is the mass of the substance (in grams), - \( c \) is the specific heat capacity (in cal/g°c), - \( \delta t \) is the change in temperature (in °c).

for this specific problem, we are given: - \( m = 12 \) grams, - \( c = 0.477 \) cal/g°c, - \( q = 130 \) calories, - initial temperature \( t_i = 18°c \). we need to find the final temperature \( t_f \) after the heat is added.

first, rearrange the specific heat formula to solve for the change in temperature \( \delta t \): \[ \delta t = \frac{q}{mc} \] plugging in the values: \[ \delta t = \frac{130}{12 \times 0.477} \approx 22.7°c \] this result represents the increase in temperature due to the heat added.

to find the final temperature \( t_f \), add the change in temperature \( \delta t \) to the initial temperature \( t_i \): \[ t_f = t_i + \delta t = 18°c + 22.7°c = 40.7°c \] therefore, the final temperature of the substance after absorbing 130 calories of heat is approximately 40.7°c. this demonstrates how energy transferred as heat to a substance results in an increase in temperature, which can be quantitatively determined using the specific heat capacity formula.