Final answer:
To find the heat required to raise the temperature of a 32 g sample of water from 8 °C to 22 °C, you use the formula q = mcΔT, resulting in 1869.408 J. It appears there is an error as this correct calculation does not match any provided answer choice.
Step-by-step explanation:
To calculate the amount of heat required to raise the temperature of a 32 g sample of water from 8 °C to 22 °C, we use the formula: q = mcΔT, where:
- q is the heat energy (in joules),
- m is the mass of the water (in grams),
- c is the specific heat capacity of water (4.184 J/g°C), and
- ΔT is the change in temperature (in °C).
Plugging the values into the equation, we get:
q = (32 g) × (4.184 J/g°C) × (22 °C - 8 °C)
q = (32 g) × (4.184 J/g°C) × (14 °C)
q = (32 g) × (4.184 J/g°C) × (14)
q = 1869.408 J
However, since this result does not match any of the options given, there might be a mistake in the question or provided options.