How much heat is required to raise the temperature of 1500 g of water from 25 °C to52 °C?Question 2Select one:a.1500 kJb.169 kJc.6.27 kJd.40.5 Je.40.5 kJ
Question
How much heat is required to raise the temperature of 1500 g of water from 25 °C to 52 °C?
Question 2 Select one:
- a. 1500 kJ
- b. 169 kJ
- c. 6.27 kJ
- d. 40.5 J
- e. 40.5 kJ
Solution
To solve this problem, we need to use the formula for heat transfer:
Q = mcΔT
where:
- Q is the heat energy
- m is the mass of the substance (in this case, water)
- c is the specific heat capacity (for water, it's approximately 4.18 J/g°C)
- ΔT is the change in temperature
Given: m = 1500 g ΔT = 52°C - 25°C = 27°C c = 4.18 J/g°C
Substituting these values into the formula, we get:
Q = 1500 g * 4.18 J/g°C * 27°C = 169,290 J
Since 1 kJ = 1000 J, we convert 169,290 J to kJ by dividing by 1000:
Q = 169.29 kJ
So, the heat required to raise the temperature of 1500 g of water from 25 °C to 52 °C is approximately 169.29 kJ. The closest answer to this is 169 kJ (option b).
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