Question

1. 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.)

Explanation:

Step1: Find mass of water

$m_{water} = 593.63\ \text{g} - 78.23\ \text{g} = 515.40\ \text{g}$

Step2: Calculate flask volume

Since $
ho = \frac{m}{V}$, rearrange to $V = \frac{m}{
ho}$.
$V = \frac{515.40\ \text{g}}{1.00\ \text{g/cm}^3} = 515.40\ \text{cm}^3$

Step3: Find mass of sulfuric acid

$m_{H_2SO_4} = 1026.57\ \text{g} - 78.23\ \text{g} = 948.34\ \text{g}$

Step4: Calculate acid density

$
ho_{H_2SO_4} = \frac{m_{H_2SO_4}}{V}$
$
ho_{H_2SO_4} = \frac{948.34\ \text{g}}{515.40\ \text{cm}^3} \approx 1.84\ \text{g/cm}^3$

Answer:

$1.84\ \text{g/cm}^3$