Explore BrainMass

Explore BrainMass

    Working with densities and coefficient of cubical expansion

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Benzene has a density of 0.90gm/cm^3 at 0 deg C and a coefficient of cubical expansion of 0.0012 per deg Celsius. Wooden balls (of density 0.88g/cm^3) therefore float in it at 0 deg Celsius. If the wood has a mean coefficient of linear expansion of 4 x 10^-5 per deg Celsius, calculate at what temperature the balls will just sink.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:47 pm ad1c9bdddf
    https://brainmass.com/physics/work/working-densities-coefficient-cubical-expansion-7510

    SOLUTION This solution is FREE courtesy of BrainMass!

    Let t be the temperature at which the ball just sinks. If V is the volume of the ball at 0 deg C, its volume at 0 deg C is

    = V (1 + 3 x 4 x 10^-5 x t) cm^3

    The mass of the ball = v x 0.88 gm (constant)

    The density of Benzene at 0 deg Celsius = 0.90

    Its density at t deg Celsius = 0.90/(1 + 0.0012 x t)

    The weight of the benzene displaced

    = [V(1 + 12 x 10^-5 x t)x0.90]/(1+0.0012 t)

    For just sinking,

    mass of ball = weight of benzene displaced

    that is,

    0.88 V = [V(1+12x10^-5 t)x0.90]/[1+0.0012 t]

    canceling V on both sides and simplifying

    t = 21.1 deg Celsius

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:47 pm ad1c9bdddf>
    https://brainmass.com/physics/work/working-densities-coefficient-cubical-expansion-7510

    ADVERTISEMENT