Question

The densities of wood and benzene at 0°C are 880
kg/m² and 900 kg/m3 respectively. The coefficients
of volume expansion are 1.2 x 10-31°C for wood
and 1.5 x 10-3/°C for benzene. The temperature at
which a piece of wood just sinks in benzene is​

Answer 1

Answer:

At 83.2 °C temperature a piece of wood just sink in benzene.

Explanation:

At 83.2 °C temperature a piece of wood just sink in benzene.

Given-

Density of wood at 0 °C = 880 kg /m³

Density of benzene at 0 °C = 900 kg /m³

Coefficient of volume expansion for wood = 1.2 × 10⁻³/ °C

Coefficient of volume expansion for benzene = 1.5 × 10⁻³/ °C

When densities of both the substance will be same in that case a piece of wood will just sink.

So V will become (1 + γΔT) and

Density (ρ) will become 1 / (1 + γΔT)

Let the temperature be T °C

So, By substituting the value we get

880 / 1 + 1.2 × 10⁻³ T = 900 /  1 + 1.5 × 10⁻³ T

By solving the above equation we get

T = 83.2 °C