Question

Janice wants to boil the following amounts of water. Which one would take the longest to raise the temperature by 8 °C? (Hint: First convert all the units to liters. There are 0.001 mL in 1 L, and 1,000 Liters = 1 kL. 1 cL = 0.01 L.)

Answer 1

To determine the amount of water that would take the longest to raise the temperature by 8 °C, we need to calculate the heat required for each amount of water. The amount of water that would take the longest is 500,000 L of water.

Step-by-step explanation:

To determine which amount of water would take the longest to raise the temperature by 8 °C, we need to calculate the amount of heat required for each amount of water. We can use the specific heat capacity of water, which is 4.184 J/g °C, to calculate the heat required.

Let's convert each amount of water to liters:

• 250,000 cL = 2,500 L
• 10 kL = 10,000 L
• 0.5 ML = 500,000 L

Now, we can calculate the heat required for each amount of water:

• 2,500 L of water: 2,500 L × 8 °C × 4.184 J/g °C = 83,680,000 J
• 10,000 L of water: 10,000 L × 8 °C × 4.184 J/g °C = 334,720,000 J
• 500,000 L of water: 500,000 L × 8 °C × 4.184 J/g °C = 16,832,000,000 J

From these calculations, we can see that 500,000 L of water would take the longest to raise the temperature by 8 °C.