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

Practice Questions

Q1
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)
  1. 5250 J
  2. 4200 J
  3. 2500 J
  4. 1000 J

Questions & Step-by-Step Solutions

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.
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