`1` mole of `CO_(2)` gas at `300K` is expanded under reversible adiabatic condition such that its volume becomes `27` times. (a) What is the final tem

Question

`1` mole of `CO_(2)` gas at `300K` is expanded under reversible adiabatic condition such that its volume becomes `27` times. (a) What is the final tem

`1` mole of `CO_(2)` gas at `300K` is expanded under reversible adiabatic condition such that its volume becomes `27` times.
(a) What is the final temperature ? , (b) What is work done ?

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

(a) `T_(1)V_(1)^(gamma-1)=T_(2)V_(2)^(gamma-1)`
`300xxV^(1//3)=T_(1)xx(27 V)^(1//3) rArrT_(2)=100K`
(b) `Delta E=q+W`
For reversible adiabatic process,
`q=0`
`Delta U=W`
`rArr W=nC_(v)Delta T`
`rArr W=1xx25.08xx(100-300)= -5.016 KJ`

4 views Answered 2023-02-05 15:29