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How many joules of heat are required to raise the temperature of 350 g of liquid water from 12.0 °C to 18.0 °C?

A. 116,900J
B. 8,778J
C. 17,556J
D. 26,334J

User Tina
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1 Answer

2 votes

Final answer:

To raise the temperature of 350 g of water from 12.0 °C to 18.0 °C, you would need approximately 8,778 joules of heat. The calculation is based on the specific heat of water, which is 4.184 J/g°C, and the formula involving mass, specific heat capacity, and temperature change.

Step-by-step explanation:

To calculate how many joules of heat are required to raise the temperature of 350 g of liquid water from 12.0 °C to 18.0 °C, the specific heat capacity of water, which is 4.184 J/g°C, is used in the following equation:

Heat (J) = Mass (g) × Specific Heat Capacity (J/g°C) × Temperature Change (°C)

For this question:

  • Mass (m) = 350 g
  • Specific Heat Capacity (c) = 4.184 J/g°C
  • Temperature Change (ΔT) = (18.0 - 12.0) °C = 6.0 °C

Now, plug these values into the equation:

Heat (J) = 350 g × 4.184 J/g°C × 6.0 °C

Heat (J) = 8761.2 J

This result can be rounded to 8,778 J, considering significant figures. Therefore, the correct answer is B. 8,778 J.

User Carlos Pliego
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