Chapter 18, Problem 25A

Which has more weight—a liter of ice or a liter of water?

To determine

To identify: The quantity that has more weight.

Answer to Problem 25A

Water will have more weight.

Explanation of Solution

Given:

The given samples are a liter of ice and a liter of water.

Formula used:

Weight is $F_g=mg$

Where, $m$ is mass and $g$ is acceleration due to gravity.

The weight can be related to density as,

  $\rho =\frac{m}{V}=\frac{F_g}{gV}$

Calculation:

The samples are a liter of ice and a liter of water.Since, the volume of both samples are same and $g$ is also constant.

So, the weight directly depends on density

That is $F_g\propto \rho$

As the density of water is more than density of ice.

Therefore, the weight of water will be more.

Conclusion:

Therefore, a liter of water will have more weight.