How much heat is required to raise the temperature of 500 g of water from 25°C t

Practice Questions

Q1
How much heat is required to raise the temperature of 500 g of water from 25°C to 75°C? (2020)
  1. 10000 J
  2. 5000 J
  3. 20000 J
  4. 15000 J

Questions & Step-by-Step Solutions

How much heat is required to raise the temperature of 500 g of water from 25°C to 75°C? (2020)
  • Step 1: Identify the mass of water. In this case, it is 500 grams.
  • Step 2: Identify the specific heat capacity of water. It is 4.2 Joules per gram per degree Celsius (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 (ΔT) by subtracting the initial temperature from the final temperature: ΔT = 75°C - 25°C = 50°C.
  • Step 6: Use the formula Q = mcΔT to calculate the heat required. Here, Q is the heat, m is the mass (500 g), c is the specific heat capacity (4.2 J/g°C), and ΔT is the change in temperature (50°C).
  • Step 7: Plug in the values: Q = 500 g * 4.2 J/g°C * 50°C.
  • Step 8: Calculate the result: Q = 500 * 4.2 * 50 = 10000 Joules.
  • 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 in the calculation are consistent, particularly mass in grams and temperature in degrees Celsius.
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