An insulated thermos contains 140 cm3 of hot coffee at 85.0°c. you put in a 15.0 g ice cube at its melting point to cool the coffee. by how many degrees has your coffee cooled once the ice has melted and equilibrium is reached? treat the coffee as though it were pure water and neglect energy exchanges with the environment. the specific heat of water is 4186 j/kg·k. the latent heat of fusion is 333 kj/kg. the density of water is 1.00 g/cm3.

Explanation:

Here at thermal equilibrium we can say that thermal energy given by Hot coffee is equal to the thermal energy absorbed by ice cubes

So here we have

now since ice cubes are added into coffee when it is at melting temperature

So here we can say that final temperature of coffee is T degree C

Now we have

here we have

L = 333 kJ/kg = 333 J/g[/tex]

now we have

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.