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No. The sun actually expands slowly as the hydrogen fuel burns. Eventually the sun will be so large that its out layers will extend out to earth's orbit. The earth will be burned to a crisp long before that, but it will then be completely incinerated and its mass converted into plasma within the sun. Certainly the mass of the sun decreases as it burns its fuel. But that is due to what is called mass deficit. When fusion happens, some of the mass of the protons and neutrons being fused to make a heavier nucleus is converted into binding energy or nuclear glue to hold that new nucleus together. Most of the mass the sun is losing is lost to this phenomenon.

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16y ago
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5mo ago

As the hydrogen in the core of the sun is burned up, it will eventually start to fuse helium. This process will cause the sun to expand into a red giant before eventually collapsing into a white dwarf. So while the sun may change size during its evolution, it will not necessarily get smaller as hydrogen gets burned up.

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Q: Does the sun get smaller as the hydrogen gets burned up?
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