107k views
5 votes
The specific heats of three different liquid substances are listed as:

Carbon tetrachloride: 0.856 J/g°C
Benzene: 1.74 J/g°C
Acetic Acid: 2.01 J/g°C
5g of an unknown liquid substance is heated with 1.42 kJ of heat energy, raising its temperature by 36.4°C. Identify the substance.

Options:
A. Carbon tetrachloride
B. Benzene
C. Acetic Acid
D. Insufficient information to determine the substance.

User CtheSky
by
7.4k points

1 Answer

1 vote

Final answer:

The specific heat of the unknown liquid is calculated to be 7.8022 J/g°C, which does not match the given options for Carbon Tetrachloride, Benzene, or Acetic Acid. Hence, the answer is that there is insufficient information to determine the substance.

Step-by-step explanation:

To identify the unknown liquid substance, we use the formula q = m × c × ΔT, where q is the heat energy transferred, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature. Given that 5g of an unknown liquid is heated with 1.42 kJ (or 1420 J) of heat energy, raising its temperature by 36.4°C, we can rearrange the formula to solve for the specific heat c: c = q / (m × ΔT). Substituting the given values gives us c = 1420 J / (5 g × 36.4°C) = 1420 J / (182 g°C) = 7.8022 J/g°C.

This calculated specific heat does not match perfectly with any of the options for Carbon Tetrachloride, Benzene or Acetic Acid. However, since the options provided in the question do not match the correct value, we can only conclude that there is insufficient information to determine the substance based solely on this calculation.

User Rob Sawyer
by
8.4k points