Question

2. When water freezes its volume increases by 4%. What volume of water is required to make 221
of ice?​

Answer 1

Answer:

We are given the percentage increase in volume of ice. Now by simply assuming an unknown variable for volume of water, we can add the increase in the volume to it and equate it to the required volume. Solving the obtained equation for the unknown variable, we can get the required volume for water.

Detailed step by step solution:

We are given that the volume of water increases by 4%% when we freeze it and we need to find the volume of water required to make 221cm3cm3 of ice.

Now let us assume an unknown variable for the volume of water required to make ice which has a volume of 221cm3221cm3. Let the volume of water required by x cm3x cm3. Since in ice form, the volume is 4%% more than the volume in liquid state, we can write the following expression for volume, taking into consideration the volume of ice that we need to obtain.

x+4% of x=221cm3x+4% of x=221cm3

This expression is obtained based on the fact that there is an increase of 4%% in the volume of water as we lower its temperature to freeze it to obtain ice which has a volume of 221cm3221cm3.

Now we can solve this equation in the following way.

x+4x100=221100x+4x100=221104x100=221⇒x=221×100104∴x=212.5cm3x+4x100=221100x+4x100=221104x100=221⇒x=221×100104∴x=212.5cm3

Hence, we need 212.5cm3212.5cm3 of water if we want to obtain 221cm3221cm3 of ice upon freezing. This is the required answer.

Answer 2

I think that will help you