Question

liquid x is known to have a lower viscosity and lower surface tension than liquid y. use these facts to predict the result of each experiment in the table below, if you can.

experiment	predicted outcome

| wax - coated particles carefully put onto the surface of liquid x or liquid y will stay on the surface, if the particles are small enough. the heaviest mass of particle ( m_x ) and ( m_y ) that will stay on each liquid’s surface without sinking are measured. | ( circ ) ( m_x ) will be greater than ( m_y )
( circ ) ( m_x ) will be less than ( m_y )
( circ ) ( m_x ) will be equal to ( m_y )
( circ ) it’s impossible to predict whether ( m_x ) or ( m_y ) will be greater without more information. |
| 130. g samples of liquid x and liquid y are weighed out, and the volumes ( v_x ) and ( v_y ) of the samples are measured. | ( circ ) ( v_x ) will be greater than ( v_y )
( circ ) ( v_x ) will be less than ( v_y )
( odot ) ( v_x ) will be equal to ( v_y )
( circ ) it’s impossible to predict whether ( v_x ) or ( v_y ) will be greater without more information. |

Explanation:

• For the first experiment: Surface tension is related to the ability of a liquid to support objects on its surface. A liquid with higher surface tension (\(Y\)) can support a heavier mass. So \(m_X\) (mass for liquid \(X\)) will be less than \(m_Y\) (mass for liquid \(Y\))
• For the second experiment: We are given the mass (\(m = 130\space g\) for both \(X\) and \(Y\)). To find the volume \(V=\frac{m}{

ho}\). Since we have no information about the densities (\(
ho\)) of liquids \(X\) and \(Y\), we cannot predict the relationship between \(V_X\) and \(V_Y\) using only the given information about viscosity and surface - tension. Viscosity and surface - tension do not directly relate to density in a way that would allow us to make a prediction about volume for a given mass without additional data on density.

Answer:

• First experiment: \(m_X\) will be less than \(m_Y\)
• Second experiment: It's impossible to predict whether \(V_X\) or \(V_Y\) will be greater without more information.