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Question

How are the (i) mass, (ii) volume, and (iii) density of a metallic piece affected, if at all, with increase in temperature?

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Answer

The parameters are affected in the following ways —

  1. Mass — It remains unchanged with an increase in temperature.
  2. Volume — It increases with an increase in the temperature.
  3. Density — Most of the substances expand on heating and contract on cooling, but their mass remains unchanged. Therefore, the density of most of the substances decreases with the increase in temperature.

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A weather forecasting plastic balloon of volume 15 m3 contains hydrogen of density 0.09 kg m-3. The volume of an equipment carried by the balloon is negligible compared to it’s own volume. The mass of the empty balloon alone is 7.15 kg. The balloon is floating in air of density 1.3 kg m-3. Calculate : (i) the mass of hydrogen in the balloon, (ii) the mass of hydrogen and balloon, (iii) the total mass of hydrogen, balloon and equipment if the mass of equipment is x kg, (iv) the mass of air displaced by balloon and (v) the mass of equipment using the law of floatation.

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