Final answer:
The amount of energy needed to vaporize a 39.4 g sample of liquid mercury at its boiling point of 356.6°C is 2778.58 calories.
Step-by-step explanation:
To calculate the amount of energy needed to vaporize a sample of liquid mercury at its normal boiling point, we need to use the equation Q = m * Hvap, where Q is the amount of energy, m is the mass of the sample, and Hvap is the heat of vaporization.
In this case, the mass of the sample is 39.4 g and the heat of vaporization is given as 70.7 cal/g.
Substituting the values into the equation, we have Q = 39.4 g * 70.7 cal/g = 2778.58 cal.
Therefore, the answer is A) 2778.58 cal.