The main component of nail polish remover is acetone, which has ∆Hvap= +31.3 kJ/mol. How many kJ of energy will be exchanged between your skina dn 48.9 mL of acetone which have been spilled on you? (density of acetone =0.79 g/cm^3)

Mass of acetone = volume x density.

Calculate mass.

moles = grams/molar mass
Calculate moles acetone.

delta Hvap = 31.3 kJ/mol.
Calculate heat transfer.

thank you! i completely understand it now!

To calculate the amount of energy exchanged between your skin and the spilled acetone, we need to determine the mass of the acetone. Here are the steps:

Step 1: Calculate the mass of the acetone.
Given that the density of acetone is 0.79 g/cm^3 and the volume is 48.9 mL, we can use the formula:
mass = density × volume
mass = 0.79 g/cm^3 × 48.9 mL

Note: To perform the calculation, we need to make sure the units are consistent. We can convert mL to cm^3 since 1 mL is equal to 1 cm^3.

Step 2: Calculate the energy exchanged using the heat of vaporization.
Given that the heat of vaporization (∆Hvap) is +31.3 kJ/mol, we can use the following formula:
energy exchanged = mass × ∆Hvap

Step 1: Calculate the mass of the acetone.
To convert mL to cm^3, we multiply by 1 cm^3 / 1 mL:
mass = 0.79 g/cm^3 × 48.9 cm^3 × (1 mL / 1 cm^3)
mass = 38.571 g

Step 2: Calculate the energy exchanged using the heat of vaporization.
energy exchanged = 38.571 g × 31.3 kJ/mol
energy exchanged ≈ 1208.843 kJ

Therefore, approximately 1208.843 kJ of energy will be exchanged between your skin and the spilled acetone.