Physics, asked by dilipyadav66, 6 months ago

In changing the state of a gas adiabatically from an equilibrium state A to another equilibrium state B, an amount of work equal to 22.3 J is done on the system. If the gas is taken from state A to B via a process in which the net heat absorbed by the system is 9.35 cal, how much is the net work done by the system in the latter case? (Take 1 cal = 4.19 J)​

Answers

Answered by Anonymous
158

\huge \underline \bold \purple{\: Question↣}

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ɪɴ ᴄʜᴀɴɢɪɴɢ ᴛʜᴇ sᴛᴀᴛᴇ ᴏғ ᴀ ɢᴀs ᴀᴅɪᴀʙᴀᴛɪᴄᴀʟʟʏ ғʀᴏᴍ ᴀɴ ᴇǫᴜɪʟɪʙʀɪᴜᴍ sᴛᴀᴛᴇ ᴀ ᴛᴏ ᴀɴᴏᴛʜᴇʀ ᴇǫᴜɪʟɪʙʀɪᴜᴍ sᴛᴀᴛᴇ ʙ, ᴀɴ ᴀᴍᴏᴜɴᴛ ᴏғ ᴡᴏʀᴋ ᴇǫᴜᴀʟ ᴛᴏ 22.3 ᴊ ɪs ᴅᴏɴᴇ ᴏɴ ᴛʜᴇ sʏsᴛᴇᴍ. ɪғ ᴛʜᴇ ɢᴀs ɪs ᴛᴀᴋᴇɴ ғʀᴏᴍ sᴛᴀᴛᴇ ᴀ ᴛᴏ ʙ ᴠɪᴀ ᴀ ᴘʀᴏᴄᴇss ɪɴ ᴡʜɪᴄʜ ᴛʜᴇ ɴᴇᴛ ʜᴇᴀᴛ ᴀʙsᴏʀʙᴇᴅ ʙʏ ᴛʜᴇ sʏsᴛᴇᴍ ɪs 9.35ᴄᴀʟ, ʜᴏᴡ ᴍᴜᴄʜ ɪs ᴛʜᴇ ɴᴇᴛ ᴡᴏʀᴋ ᴅᴏɴᴇ ʙʏ ᴛʜᴇ sʏsᴛᴇᴍ ɪɴ ᴛʜᴇ ʟᴀᴛᴛᴇʀ ᴄᴀsᴇ? (ᴛᴀᴋᴇ 1 ᴄᴀʟ =4.19 ᴊ)‎

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\huge \underline  {\bold \orange{ \: Answer↣}}‎‎

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‎The work done (W) on the system while the gas changes from state A to state B is 22.3J.‎‎‎

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‎⠀⠀‎⠀‎⠀⠀⠀‎⠀⠀ᴛʜᴇʀᴇғᴏʀᴇ , ᴛʜɪs ɪs ᴀɴ ᴀᴅɪᴀʙᴀᴛɪᴄ ᴘʀᴏᴄᴇss‎

‎‎‎Hence, change in heat is zero.‎

‎‎‎ \large{\bold{ \to Q = 0}} ‎‎

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 \large{\bold{\to ∆W = -22.3J}} (Since the work is done on the system)‎

‎From the first law of thermodynamics, wehave↴‎‎

‎⠀⠀‎⠀‎⠀⠀‎⠀⠀‎⠀‎⠀⠀⠀⠀

 {{\Large{\boxed{\boxed{\rm{ ∆Q = ∆U+∆W}}}}}}

‎Where ,‎‎

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‎∆U= Change in the intemal energy of the gas‎

 \bold{ \implies ∆U = ∆F-∆W= -(-22.3 J)} ‎‎

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 \bold{ \implies ∆U=+22.3 J}

‎When the gas goes from state A to state B via a process, the net heat absorbed by the system is ↴‎

 \large{\bold{ ∆Q=9.35cal = 9.35 x 4.19 = 39.1765J}}‎‎Heat absorbed ;‎‎‎

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‎⠀⠀‎⠀‎⠀⠀⠀ {\boxed{\underline{\Large{\rm{ Formula \implies ∆W= ∆Q-∆U}}}}}

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‎ ‎ \large{\bold{ \implies 39.1765-22.3 }} ‎‎

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 \large{\mathcal\pink{ \implies  16.8765 \:  J}} ‎‎

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‎⠀‎⠀ \Large{\red{∵ \: 16.88 \: ᴊ \: ᴏғ \:  ᴡᴏʀᴋ \:  ᴅᴏɴᴇ \:  ɪs \:  ʙʏ \: ᴛʜᴇ \: sʏsᴛᴇᴍ

Answered by Anonymous
3

Answer:

Refer The Attachments Sis / Bro ....

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