The densities of wood and benzene at `0^@C` are `880 kg m^(-3) and 900 kg m^(-3)` respectively. The coefficients of volume expansion are `1.2 xx10^(-3)C^(-1)` for wood and `1.5 xx 10^(-3)C^(-1)` for benzene. At what temperature will a piece of wood just sink in benzene?

Explanation

To find the temperature at which a piece of wood will just sink in benzene, we can follow these steps:

### Step 1: Understand the Problem
We know the densities of wood and benzene at 0°C:
- Density of wood, \( \rho_{wood} = 880 \, \text{kg/m}^3 \)
- Density of benzene, \( \rho_{benzene} = 900 \, \text{kg/m}^3 \)

We also have the coefficients of volume expansion:
...