Final answer:
When 24 g of sodium chloride at 25 °C are mixed with 272 g mercury at 50 °C, the final temperature is approximately 51.0 °C.
Step-by-step explanation:
To find the final temperature of the sodium chloride crystal, we need to use the equation q = mcΔT
Where
q is the heat supplied
m is the mass of the crystal
c is the specific heat capacity
ΔT is the change in temperature.
First, we convert the given heat from calories to joules by using the conversion factor 1 cal = 4.184 J.
So, 147 cal is equal to 147 * 4.184 J = 613.098 J.
Next, we rearrange the equation to solve for ΔT: ΔT = q / (mc).
Plugging in the values, we get ΔT = 613.098 J / (10.7 g * 4.184 J/g°C) = 13.985 °C.
Therefore, the final temperature of the crystal is 37.0 °C + 13.985 °C = 50.985 °C, which can be rounded to 51.0 °C.