Photo AI

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 icon

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-at-20-°C-to-steam-at-100-°C-is-A-VCE-SSCE Chemistry-Question 15-2012-Paper 1.png

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

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=100 g18.02 g/mol5.55 moln = \frac{100 \text{ g}}{18.02 \text{ g/mol}} \approx 5.55 \text{ mol}

Step 2

Calculate the energy required to convert 5.55 mol of water to steam

99%

104 rated

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/mol2997 kJ\text{Energy} = 5.55 \text{ mol} \times 540.0 \text{ kJ/mol} \approx 2997 \text{ kJ}

This can be rounded to 3.00 × 10² kJ.

Step 3

Select the correct answer from the options

96%

101 rated

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.

Join the SSCE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;