Question

If 450 J of energy is added to 175 grams of mercury at 24°C, what is the final temperature of the mercury?

a) 27.5°C
b) 32.4°C
c) 35.7°C
d) 40.2°C

Answer 1

The final temperature of the mercury is 18367.3469 °C.

Step-by-step explanation:

To find the final temperature of the mercury, we need to use the equation:

Q = mcΔT

Where Q is the heat added, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

First, we need to convert the mass of mercury from grams to kilograms by dividing by 1000:

175 grams ÷ 1000 = 0.175 kg

Next, we rearrange the equation to solve for ΔT:

ΔT = Q ÷ mc

Plugging in the given values:

ΔT = 450 J ÷ (0.175 kg * 0.14 J/g·°C)

ΔT = 450 J ÷ (0.175 kg * 0.14 J/g·°C ÷ 1000)

ΔT = 450 J ÷ (0.0245 J/°C)

ΔT = 18367.3469 °C

Therefore, the final temperature of the mercury is 18367.3469 °C.