Question

What is the final temperature of 100 g of water at 30°C that has 500,000 J of energy added to it?

A) 100°C

B) 50°C

C) 70°C

D) 40°C

Answer 1

The final temperature of the water is approximately 1226.17 °C, but since water boils at 100 °C, the answer is Choice A) 100 °C.

Step-by-step explanation:

To find the final temperature of the water, we can use the equation:

Q = mcΔT

Where:

• Q is the heat energy added to the water
• m is the mass of the water
• c is the specific heat capacity of water
• ΔT is the change in temperature

First, we need to calculate the heat energy added to the water:

Q = 500,000 J

Next, we calculate the change in temperature:

ΔT = Q / (mc)

ΔT = 500,000 J / (100 g * 4.18 J/g°C)

ΔT ≈ 1196.17 °C

Finally, we add the initial temperature of 30°C to the change in temperature:

Final Temperature = 30°C + 1196.17 °C

Final Temperature ≈ 1226.17 °C

Since water boils at 100°C, which is lower than the calculated final temperature, the answer must be Choice A) 100°C.