Divers found two substances on the bottom of the ocean. at room temperature, both substances are liquid. scientists then transferred the same amount of energy out of both substances. when a scientist checked again, substance 1 had changed phase, but substance 2 had not. how are substances 1 and 2 different?

They have different melting points

Hello there!

You know that both substances are liquid at room temperature.

After the scientists transferred the same amount of energy to both substances (this is equivalent to heating them by the same amount), one of them changed phase and the other not.

when you give energy to a liquid, or heat in this case, the next phase is the gas. The fact that substance 1 changed of phase and substance 2 don't, means that substance one has a smaller vaporization point, which means that requires less energy in order to go from the liquid phase to the gas phase (the substance 1 does the transition at a smaller temperature than the substance 2).

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.

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