Question

why is internal energy of a ideal gas is purely kinetic?

Answer 1

Answer:

In ideal gases, there is no inter-particle interaction. Therefore, only the kinetic energy contribute to the internal energy. Each degrees of freedom contribute 12kT 1 2 kT per atom to the internal energy. For monatomic ideal gases with N atoms, its total internal energy U is given as U=32NkT U = 3 2 NkT

Explanation:

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Answer 2

ɪɴ ɪᴅᴇᴀʟ ɢᴀꜱᴇꜱ, ᴛʜᴇʀᴇ ɪꜱ ɴᴏ ɪɴᴛᴇʀ-ᴘᴀʀᴛɪᴄʟᴇ ɪɴᴛᴇʀᴀᴄᴛɪᴏɴ. ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴏɴʟʏ ᴛʜᴇ ᴋɪɴᴇᴛɪᴄ ᴇɴᴇʀɢʏ ᴄᴏɴᴛʀɪʙᴜᴛᴇ ᴛᴏ ᴛʜᴇ ɪɴᴛᴇʀɴᴀʟ ᴇɴᴇʀɢʏ. ᴇᴀᴄʜ ᴅᴇɢʀᴇᴇꜱ ᴏꜰ ꜰʀᴇᴇᴅᴏᴍ ᴄᴏɴᴛʀɪʙᴜᴛᴇ 12ᴋᴛ 1 2 ᴋᴛ ᴘᴇʀ ᴀᴛᴏᴍ ᴛᴏ ᴛʜᴇ ɪɴᴛᴇʀɴᴀʟ ᴇɴᴇʀɢʏ. ꜰᴏʀ ᴍᴏɴᴀᴛᴏᴍɪᴄ ɪᴅᴇᴀʟ ɢᴀꜱᴇꜱ ᴡɪᴛʜ ɴ ᴀᴛᴏᴍꜱ, ɪᴛꜱ ᴛᴏᴛᴀʟ ɪɴᴛᴇʀɴᴀʟ ᴇɴᴇʀɢʏ ᴜ ɪꜱ ɢɪᴠᴇɴ ᴀꜱ ᴜ=32ɴᴋᴛ ᴜ = 3 2 ɴᴋᴛ .