Answer:
53.4 g
Step-by-step explanation:
To determine the mass of the water sample, we need to use the formula for specific heat capacity, which is defined as the amount of heat needed to raise the temperature of one gram of a substance by one degree Celsius. The formula that demonstrates this is q = mCΔT, where q is the heat energy transferred during the process in J, m is the mass of the substance in g, C is the specific heat capacity of the substance in J/g·°C, and ΔT is the temperature change in °C.
We can rearrange the formula to solve for the mass.
Plug in the known values accordingly. It is important to note that the specific heat capacity of water is 4.18 J/g·°C, which will usually be given to you.
- m = q/CΔT
- m = (1450 J)/[(4.18 J/g·°C)(6.5 °C)]
- m = 53.4 g
The mass of a water sample which absorbs 1450 J of energy when its temperature increases by 6.5 °C is approximately 53.4 g.