What is the density of the solid object?

Question

A certain liquid has a density of 0.79355 g/mL. A solid object with a mass of 43.51 grams is placed in a sample of the liquid (the solid is insoluble in the liquid). The total volume of the solid and liquid together is 59.55 mL. The total mass of the solid and liquid together is 67.96 grams

Answer 1

Hello Matt

 

1) First, we need to determine the mass of the liquid by subtracting the mass of the solid from the mass of the solid + liquid.

 

m_liquid =  m_{solid + liquid} - m_solid = 67.96 - 43.51 = 24.25 g

 

2) Then use the density of the liquid and the above mass of liquid to calculate the volume of the liquid.

 

V_liquid = m_liquid / d_liquid = 24.25 g / 0.79355 g/mL = 30.81 mL

 

3) The volume of the solid is then obtained by subtracting the volume of the liquid from the volume of the solid + liquid

 

V_solid = V_{solid + liquid} - V_liquid = 59.55 - 30.81 = 28.74 mL

 

4) Finally, the density of the solid is:

 

d_solid = m_solid / V_solid = 43.51 g / 28.74 mL = 1.514 g/mL