Using the data in the table below,determine how many calories are needed to change 100g of solid x at 10degrees celcious to a vapour at 210degrees celcious:thermodynamic constants for substance x: heat of fusion 40,0cal/g heat of vaporization 150,0cal/g melting point 10,0'c boiling point 210'c specific heat capacity 0,500cal/g'c

To determine how many calories are needed to change 100g of solid x at 10 degrees Celsius to a vapor at 210 degrees Celsius, we need to consider the different energy changes involved in the process.

First, we need to calculate the energy required to raise the temperature of the solid x from 10 degrees Celsius to its melting point of 10 degrees Celsius.

Q1 = mass x specific heat capacity x change in temperature
= 100g x 0.500 cal/g°C x (10 - 10) °C
= 0 calories

Since there is no change in temperature, no energy is required in this step.

Next, we need to calculate the energy required to melt the solid x at its melting point.

Q2 = mass x heat of fusion
= 100g x 40.0 cal/g
= 4000 calories

Now, we calculate the energy required to raise the temperature of the melted x from its melting point to its boiling point.

Q3 = mass x specific heat capacity x change in temperature
= 100g x 0.500 cal/g°C x (210 - 10) °C
= 1000 x 200
= 200,000 calories

Finally, we calculate the energy required to vaporize the x at its boiling point.

Q4 = mass x heat of vaporization
= 100g x 150.0 cal/g
= 15,000 calories

To determine the total energy required for the entire process, we sum up the energy changes in each step:

Total energy = Q1 + Q2 + Q3 + Q4
= 0 + 4000 + 200,000 + 15,000
= 219,000 calories

Therefore, it would take 219,000 calories to change 100g of solid x at 10 degrees Celsius to a vapor at 210 degrees Celsius.