How much heat is required to raise the temperature of 250 g of water from 25°C t

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Question: How much heat is required to raise the temperature of 250 g of water from 25°C to 75°C? (Specific heat of water = 4.2 J/g°C) (2020)

Options:

Correct Answer: 5250 J

Solution:

Heat required = mass × specific heat × change in temperature = 250 g × 4.2 J/g°C × (75°C - 25°C) = 5250 J.

How much heat is required to raise the temperature of 250 g of water from 25°C to 75°C? (Specific heat of water = 4.2 J/g°C) (2020)

How much heat is required to raise the temperature of 250 g of water from 25°C to 75°C? (Specific heat of water = 4.2 J/g°C) (2020)

Step 1: Identify the mass of water. In this case, it is 250 grams.
Step 2: Identify the specific heat of water, which is 4.2 J/g°C.
Step 3: Determine the initial temperature of the water, which is 25°C.
Step 4: Determine the final temperature of the water, which is 75°C.
Step 5: Calculate the change in temperature by subtracting the initial temperature from the final temperature: 75°C - 25°C = 50°C.
Step 6: Use the formula for heat required: Heat = mass × specific heat × change in temperature.
Step 7: Plug in the values: Heat = 250 g × 4.2 J/g°C × 50°C.
Step 8: Calculate the result: 250 × 4.2 × 50 = 5250 J.

Specific Heat Capacity – The amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius.
Heat Transfer Calculation – Using the formula Q = mcΔT to calculate the heat energy required for temperature changes.
Unit Consistency – Ensuring that all units are consistent (grams, degrees Celsius, joules) in calculations.