The molar heat of vaporization of water is 42 kJ/mol. How much energy is released by the condensation of 3.0 g of water?
heat=42kJ/mol * 1mol/18g*3g= ....42/6 kJ
To find the amount of energy released by the condensation of 3.0 g of water, we need to convert the mass of water to moles and then multiply it by the molar heat of vaporization.
1. First, find the molar mass of water (H2O):
- Mass of one mole of H2O = 2 * atomic mass of hydrogen + atomic mass of oxygen
- Atomic mass of hydrogen = 1.01 g/mol
- Atomic mass of oxygen = 16.00 g/mol
- Molar mass of water (H2O) = 2 * 1.01 g/mol + 16.00 g/mol
= 2.02 g/mol + 16.00 g/mol
= 18.02 g/mol
2. Next, convert the mass of water (3.0 g) to moles:
- Moles of water = Mass of water / Molar mass of water
= 3.0 g / 18.02 g/mol
≈ 0.1667 mol
3. Finally, calculate the energy released by condensation using the molar heat of vaporization (42 kJ/mol):
- Energy released = Moles of water * Molar heat of vaporization
= 0.1667 mol * 42 kJ/mol
= 7.00 kJ
Therefore, approximately 7.00 kJ of energy is released by the condensation of 3.0 g of water.
To find the amount of energy released by the condensation of water, we need to convert the mass of water given in grams to moles. Once we have the number of moles, we can multiply it by the molar heat of vaporization to get the amount of energy released.
First, we need to determine the number of moles of water in 3.0 g. To do this, we'll use the molar mass of water, which is approximately 18 g/mol. We can calculate the number of moles using the formula:
Number of moles = Mass / Molar mass
Number of moles = 3.0 g / 18 g/mol
Number of moles = 0.1667 mol (rounded to four decimal places)
Next, we'll use the molar heat of vaporization, which is given as 42 kJ/mol. Multiplying the number of moles by the molar heat of vaporization will give us the amount of energy released:
Energy released = Number of moles × Molar heat of vaporization
Energy released = 0.1667 mol × 42 kJ/mol
Energy released = 7 kJ (rounded to the nearest whole number)
Therefore, the amount of energy released by the condensation of 3.0 g of water is approximately 7 kJ.