Question

Applications of serial solution

Answer 1

Answer:

ᴅɪʟᴜᴛɪᴏɴ ʀᴇғᴇʀs ᴛᴏ ᴛʜᴇ ᴘʀᴏᴄᴇss ᴏғ ᴀᴅᴅɪɴɢ ᴀᴅᴅɪᴛɪᴏɴᴀʟ sᴏʟᴠᴇɴᴛ ᴛᴏ ᴀ sᴏʟᴜᴛɪᴏɴ ᴛᴏ ᴅᴇᴄʀᴇᴀsᴇ ɪᴛs ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. ᴛʜɪs ᴘʀᴏᴄᴇss ᴋᴇᴇᴘs ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏғ sᴏʟᴜᴛᴇ ᴄᴏɴsᴛᴀɴᴛ, ʙᴜᴛ ɪɴᴄʀᴇᴀsᴇs ᴛʜᴇ ᴛᴏᴛᴀʟ ᴀᴍᴏᴜɴᴛ ᴏғ sᴏʟᴜᴛɪᴏɴ, ᴛʜᴇʀᴇʙʏ ᴅᴇᴄʀᴇᴀsɪɴɢ ɪᴛs ғɪɴᴀʟ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. ᴅɪʟᴜᴛɪᴏɴ ᴄᴀɴ ᴀʟsᴏ ʙᴇ ᴀᴄʜɪᴇᴠᴇᴅ ʙʏ ᴍɪxɪɴɢ ᴀ sᴏʟᴜᴛɪᴏɴ ᴏғ ʜɪɢʜᴇʀ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ᴡɪᴛʜ ᴀɴ ɪᴅᴇɴᴛɪᴄᴀʟ sᴏʟᴜᴛɪᴏɴ ᴏғ ʟᴇssᴇʀ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. ᴅɪʟᴜᴛɪɴɢ sᴏʟᴜᴛɪᴏɴs ɪs ᴀ ɴᴇᴄᴇssᴀʀʏ ᴘʀᴏᴄᴇss ɪɴ ᴛʜᴇ ʟᴀʙᴏʀᴀᴛᴏʀʏ, ᴀs sᴛᴏᴄᴋ sᴏʟᴜᴛɪᴏɴs ᴀʀᴇ ᴏғᴛᴇɴ ᴘᴜʀᴄʜᴀsᴇᴅ ᴀɴᴅ sᴛᴏʀᴇᴅ ɪɴ ᴠᴇʀʏ ᴄᴏɴᴄᴇɴᴛʀᴀᴛᴇᴅ ғᴏʀᴍs. ғᴏʀ ᴛʜᴇ sᴏʟᴜᴛɪᴏɴs ᴛᴏ ʙᴇ ᴜsᴀʙʟᴇ ɪɴ ᴛʜᴇ ʟᴀʙ (ғᴏʀ ᴀ ᴛɪᴛʀᴀᴛɪᴏɴ, ғᴏʀ ɪɴsᴛᴀɴᴄᴇ), ᴛʜᴇʏ ᴍᴜsᴛ ʙᴇ ᴀᴄᴄᴜʀᴀᴛᴇʟʏ ᴅɪʟᴜᴛᴇᴅ ᴛᴏ ᴀ ᴋɴᴏᴡɴ, ʟᴇssᴇʀ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ sᴏʟᴠᴇɴᴛ ɴᴇᴇᴅᴇᴅ ᴛᴏ ᴘʀᴇᴘᴀʀᴇ ᴛʜᴇ ᴅᴇsɪʀᴇᴅ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ᴏғ ᴀ ɴᴇᴡ, ᴅɪʟᴜᴛᴇᴅ sᴏʟᴜᴛɪᴏɴ ᴄᴀɴ ʙᴇ ᴄᴀʟᴄᴜʟᴀᴛᴇᴅ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟʟʏ. ᴛʜᴇ ʀᴇʟᴀᴛɪᴏɴsʜɪᴘ ɪs ᴀs ғᴏʟʟᴏᴡs:

[ʟᴀᴛᴇx]ᴍ_1ᴠ_1=ᴍ_2ᴠ_2[/ʟᴀᴛᴇx]

ᴍ ᴅᴇɴᴏᴛᴇs ᴛʜᴇ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴏʀɪɢɪɴᴀʟ sᴏʟᴜᴛɪᴏɴ, ᴀɴᴅ ᴠ ᴅᴇɴᴏᴛᴇs ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴏʀɪɢɪɴᴀʟ sᴏʟᴜᴛɪᴏɴ; ᴍ ʀᴇᴘʀᴇsᴇɴᴛs ᴛʜᴇ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴅɪʟᴜᴛᴇᴅ sᴏʟᴜᴛɪᴏɴ, ᴀɴᴅ ᴠ ʀᴇᴘʀᴇsᴇɴᴛs ᴛʜᴇ ғɪɴᴀʟ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴅɪʟᴜᴛᴇᴅ sᴏʟᴜᴛɪᴏɴ. ᴡʜᴇɴ ᴄᴀʟᴄᴜʟᴀᴛɪɴɢ ᴅɪʟᴜᴛɪᴏɴ ғᴀᴄᴛᴏʀs, ɪᴛ ɪs ɪᴍᴘᴏʀᴛᴀɴᴛ ᴛʜᴀᴛ ᴛʜᴇ ᴜɴɪᴛs ғᴏʀ ʙᴏᴛʜ ᴠᴏʟᴜᴍᴇ ᴀɴᴅ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ᴀʀᴇ ᴛʜᴇ sᴀᴍᴇ ғᴏʀ ʙᴏᴛʜ sɪᴅᴇs ᴏғ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ.

ᴇxᴀᴍᴘʟᴇ

175 ᴍʟ ᴏғ ᴀ 1.6 ᴍ ᴀǫᴜᴇᴏᴜs sᴏʟᴜᴛɪᴏɴ ᴏғ ʟɪᴄʟ ɪs ᴅɪʟᴜᴛᴇᴅ ᴡɪᴛʜ ᴡᴀᴛᴇʀ ᴛᴏ ᴀ ғɪɴᴀʟ ᴠᴏʟᴜᴍᴇ ᴏғ 1.0 ʟ. ᴡʜᴀᴛ ɪs ᴛʜᴇ ғɪɴᴀʟ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴅɪʟᴜᴛᴇᴅ sᴏʟᴜᴛɪᴏɴ?

[ʟᴀᴛᴇx]ᴍ_1ᴠ_1=ᴍ_2ᴠ_2[/ʟᴀᴛᴇx] (1.6 ᴍ)(175 ᴍʟ) = ᴍ2(1000 ᴍʟ) ᴍ = 0.28 ᴍ

hope it helps uhh

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