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Multiple Choice
Calculate the volume (mL) of acetone, C3 H6 O, (density = 0.786 g/mL) that can be vaporized at its normal boiling point with 345 kJ of heat. ΔHvap for acetone is 29.1 kJ/mol.
A
15.1 mL
B
151 mL
C
541 mL
D
688 mL
E
876 mL
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Verified step by step guidance
1
Identify the given values: the heat provided (345 kJ), the density of acetone (0.786 g/mL), and the enthalpy of vaporization (ΔHvap = 29.1 kJ/mol).
Calculate the number of moles of acetone that can be vaporized using the formula: \( \text{moles} = \frac{\text{heat}}{\Delta H_{\text{vap}}} \). Substitute the given values to find the moles.
Convert the moles of acetone to grams using the molar mass of acetone (C3H6O). The molar mass is calculated as: \( 3(12.01) + 6(1.01) + 16.00 \) g/mol.
Use the density of acetone to convert the mass (in grams) to volume (in mL) using the formula: \( \text{volume} = \frac{\text{mass}}{\text{density}} \).
Substitute the calculated mass and the given density into the formula to find the volume of acetone that can be vaporized.