Final answer:
To find the quantity of heat needed to raise the temperature of 50.00 mL of water from 25.52 °C to 28.75 °C, one would calculate using the formula q = mcΔT, resulting in a total of 669.21 J.
Step-by-step explanation:
To calculate the quantity of heat required to raise the temperature of 50.00 mL of water from 25.52 °C to 28.75 °C, we must use the formula q = mcΔT, where:
- q is the quantity of heat (in joules)
- m is the mass of the water (in grams)
- c is the specific heat capacity of water (4.184 J/g°C)
- ΔT is the change in temperature (in °C)
First, we convert the volume of water to mass using the density given: 50.00 mL × 0.997 g/mL = 49.85 g.
Next, we calculate the change in temperature: 28.75 °C - 25.52 °C = 3.23 °C.
Finally, we plug these values into the formula:
q = (49.85 g) × (4.184 J/g°C) × (3.23 °C)
q = 669.21 J
Therefore, the quantity of heat required is 669.21 J (joules).