Using the data in the table, determine how many calories are needed to change 100 g of solid X at 10 °C to a vapor at 210°C. A)4000 cal B)10 000 cal C)15 000 cal D)29 000 cal E)39 000 cal

Question

Quizplus · Accepted Answer

To change solid X at 10°C to a vapor at 210°C, we need to calculate the heat required to raise the temperature of the solid to its boiling point and then to vaporize it. 
The steps involved are:
1. Heat required to raise the temperature of 100 g of solid X from 10°C to its boiling point at 210°C:
Q1 = m × c × ΔT
where m = 100 g (mass of solid X), c = specific heat capacity of the solid X, ΔT = change in temperature = (210°C - 10°C) = 200°C
Using the table, we can find the specific heat capacity of solid X to be 0.2 cal/g°C.
Q1 = 100 × 0.2 × 200 = 4000 cal
2. Heat required to vaporize 100 g of solid X at its boiling point:
Q2 = m × Hvap
where m = 100 g (mass of solid X), Hvap = heat of vaporization of solid X
Using the table, we can find the heat of vaporization of solid X to be 250 cal/g
Q2 = 100 × 250 = 25000 cal
Total heat required = Q1 + Q2 = 4000 + 25000 = 29000 cal, which is closest to option D) 29000 cal.

Using the Data in the Table, Determine How Many Calories