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The mempool is a database of unconfirmed UTXOs that are yet to be mined by a miner.
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The mempool becomes larger in size which eventually leads to a miner reaching full-capacity in bytes. Therefore, not being able to record anymore newly unconfirmed transactions.
If we mean the rate (fee) of the new transaction?
If a UTXO was spent with very low fee then it is possible that miners may never mine it or take longer than usual to do so. This is especially the case during periods where demands for space on the mempool are high, inflating the value per byte. Miners by default are incentivised to mining transactions that provide high rewards.
- The more bytes taken up by the transactions, the higher the fees become to mine them. Miners would have to prioritise confirming multiple unspent transactions which were output from any same wallet as part of clearing the mempool space across the blockchain.
This means any wallet outputting only a single UTXO which contains a significant value in satoshis would have to take less precedence because they may take less space (bytes) in the mempool compared to the wallets that initiated multiple UTXO transactions at the time.
Even if the the individual who sent the single UTXO had set a very high fee for it to be mined onto the next block.