What is the heat required to raise the temperature of 2 kg of aluminum from 25°C
Practice Questions
Q1
What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)
9000 J
18000 J
36000 J
4500 J
Questions & Step-by-Step Solutions
What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)
Step 1: Identify the mass of aluminum. The problem states it is 2 kg. Convert this to grams because the specific heat is given in J/g°C. 2 kg = 2000 g.
Step 2: Identify the specific heat of aluminum. The problem states it is 0.9 J/g°C.
Step 3: Determine the initial and final temperatures. The initial temperature is 25°C and the final temperature is 75°C.
Step 4: Calculate the change in temperature (ΔT). ΔT = final temperature - initial temperature = 75°C - 25°C = 50°C.
Step 5: Use the formula for heat required (Q). The formula is Q = mcΔT, where m is mass, c is specific heat, and ΔT is the change in temperature.
Step 6: Substitute the values into the formula: Q = (2000 g)(0.9 J/g°C)(50°C).
Step 7: Calculate the heat required: Q = 2000 * 0.9 * 50 = 90000 J.
