The molar heat of solution of NH4NO3 is 25.7 kJ/mol. How much heat (in kJ) would be required to dissolve 20 grams of NH4NO3 in water?
25.7 kJ x (20g/molarmass NH4NO3) = ??
41142.616
To calculate the heat required to dissolve 20 grams of NH4NO3, we need to convert the mass of NH4NO3 from grams to moles using its molar mass.
The molar mass of NH4NO3 can be calculated by adding the atomic masses of each element:
N: 14.01 g/mol
H: 1.01 g/mol x 4 (since there are 4 hydrogen atoms in NH4NO3)
O: 16.00 g/mol x 3 (since there are 3 oxygen atoms in NH4NO3)
Molar mass of NH4NO3 = (14.01 g/mol) + (1.01 g/mol x 4) + (16.00 g/mol x 3)
Molar mass of NH4NO3 ≈ 80.05 g/mol
Next, we can use the molar mass to calculate the number of moles of NH4NO3 in 20 grams:
Number of moles = Mass / Molar mass
Number of moles = 20 g / 80.05 g/mol
Number of moles ≈ 0.2499 mol (rounding to four decimal places)
Finally, we can use the molar heat of solution to calculate the heat required:
Heat = Number of moles x Molar heat of solution
Heat = 0.2499 mol x 25.7 kJ/mol
Heat ≈ 6.425 kJ
Therefore, it would require approximately 6.425 kJ of heat to dissolve 20 grams of NH4NO3 in water.
To calculate the heat required to dissolve 20 grams of NH4NO3 in water, we need to use the molar heat of solution. The molar heat of solution is defined as the amount of heat energy required to dissolve one mole of a substance in a specified amount of solvent.
Given that the molar heat of solution of NH4NO3 is 25.7 kJ/mol, we first need to determine the number of moles present in 20 grams of NH4NO3. To do this, we will use the equation:
moles = mass / molar mass
The molar mass of NH4NO3 can be calculated by summing the atomic masses of its constituent elements:
Molar mass of NH4NO3 = (1 * atomic mass of N) + (4 * atomic mass of H) + (3 * atomic mass of O)
Next, we can substitute the value of the molar mass into the equation to find the number of moles:
moles = 20 g / molar mass
Finally, we can calculate the heat required using the equation:
heat = moles * molar heat of solution
Therefore, we can calculate the heat required to dissolve 20 grams of NH4NO3 in water as follows:
1. Determine the molar mass of NH4NO3 by adding up the atomic masses of its constituent elements.
2. Calculate the number of moles present in 20 grams of NH4NO3 using the formula moles = mass / molar mass (where mass = 20 g).
3. Substitute the value of moles into the equation heat = moles * molar heat of solution (where molar heat of solution = 25.7 kJ/mol).
4. Calculate the value of heat to find the answer in kJ.
Note: Make sure to use accurate values for atomic masses and molar heat of solution for NH4NO3 to get an accurate result.