Answer to Question #160782 in General Chemistry for John Smith

Question

A flask has a mass of 78.23 g when empty and 593.63 g when filled with water. When the same flask is filled with concentrated sulfuric acid, H₂SO₄, its mass is 1026.57 g. What is the density of concentrated sulfuric acid? (Assume water has a density of 1.00 g/cm³ at the temperature of the measurement.) 

Answer 1

$m_f = 78.23 \;g \\ m_{fw} = 593.63 \;g \\ m_{water} = m_{fw} -m_f \\ = 593.63 -78.23 \\ = 515.4 \;g \\ V_{water} = V_{asid}=515.4 \;mL \\ m_{fa} = 1026.57 \;g \\ m_{acid} = m_{fa} -m_f \\ = 1026.57 -78.23 \\ = 948.34 \;g \\ ρ=\frac{m}{V} \\ ρ_{acid} = \frac{948.34}{515.4} \\ = 1.84 \;g/mL$

Answer: 1.84 g/mL