Final answer:
To find the joules of heat needed to raise the temperature of mercury, use the formula Q = m × c × ΔT. The calculation yields 27.3 J, so the correct answer is 27 J. Option B is correct.
Step-by-step explanation:
To calculate the amount of heat required to raise the temperature of a given mass of a substance, we'll use the formula:
Q = m × c × ΔT
Where:
Q is the heat in joules (J)
m is the mass of the substance in grams (g)
c is the specific heat capacity of the substance in J/g-K
ΔT is the change in temperature in degrees Celsius (°C)
For our problem: the mass (m) is 5.00 g of mercury, the specific heat capacity (c) is 0.14 J/g-K, and the change in temperature (ΔT) is 75.0 °C - 36.0 °C which equals 39.0 °C. Plugging these values into our formula:
Q = 5.00 g × 0.14 J/g-K × 39.0 °C
Q = 27.3 J
Therefore, the correct answer is B.27 J.
To calculate the amount of heat needed, we can use the equation:
q = m * c * ΔT
Where q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
Given:
Mass of mercury (m) = 5.00 g
Specific heat capacity of mercury (c) = 0.14 J/g-K
Change in temperature (ΔT) = (75.0 °C - 36.0 °C) = 39.0 °C
Substituting these values into the equation, we have:
q = 5.00 g * 0.14 J/g-K * 39.0 °C
q = 27.3 J
Therefore, the correct answer is B. 27 J.