Question

If 195 cal of heat were added to 33.2 g of mercury at 56.2°C, what is the final temperature of the mercury?

Answer 1

The final temperature of mercury when 195 cal of heat is added to 33.2 g starting at 56.2°C is 234.23°C. This is calculated using the specific heat capacity formula for mercury.

Step-by-step explanation:

To find the final temperature of mercury after heat is added, we can use the specific heat capacity equation: q = mcΔT, where q is the heat added (in calories), m is the mass of the substance (in grams), c is the specific heat capacity, and ΔT is the change in temperature. The specific heat capacity of mercury (Hg) is 0.033 cal/g°C.

Using the given values:

• q = 195 cal
• m = 33.2 g
• c = 0.033 cal/g°C
• ΔT = final temperature - initial temperature

We solve for ΔT:

195 cal = (33.2 g)(0.033 cal/g°C)(final temperature - 56.2°C)

Now, divide both sides by (33.2 g)(0.033 cal/g°C) to isolate the change in temperature.

ΔT = final temperature - 56.2°C = 195 cal / (33.2 g)(0.033 cal/g°C)

ΔT = final temperature - 56.2°C = 178.03°C

Now, add 56.2°C to both sides to find the final temperature:

Final temperature = 56.2°C + 178.03°C = 234.23°C