If 540.0 kJ of energy is required to convert 1.00 mol of liquid water to steam at 100 °C, the amount of heat energy, in kilojoule, required to convert 100 g of water at 20 °C to steam at 100 °C is
A - VCE - SSCE Chemistry - Question 15 - 2012 - Paper 1
Question 15
If 540.0 kJ of energy is required to convert 1.00 mol of liquid water to steam at 100 °C, the amount of heat energy, in kilojoule, required to convert 100 g of water... show full transcript
Worked Solution & Example Answer:If 540.0 kJ of energy is required to convert 1.00 mol of liquid water to steam at 100 °C, the amount of heat energy, in kilojoule, required to convert 100 g of water at 20 °C to steam at 100 °C is
A - VCE - SSCE Chemistry - Question 15 - 2012 - Paper 1
Step 1
Calculate the number of moles in 100 g of water
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To convert grams of water to moles, we use the molar mass of water, which is approximately 18.02 g/mol. Therefore, the number of moles in 100 g can be calculated as follows:
n=18.02 g/mol100 g≈5.55 mol
Step 2
Calculate the energy required to convert 5.55 mol of water to steam
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Given that 540.0 kJ of energy converts 1.00 mol of water to steam, the energy required for 5.55 mol can be found using:
Energy=5.55 mol×540.0 kJ/mol≈2997 kJ
This can be rounded to 3.00 × 10² kJ.
Step 3
Select the correct answer from the options
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
From the calculations above, the energy required to convert 100 g of water at 20 °C to steam at 100 °C is approximately 3.00 × 10² kJ, corresponding to option C.