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Initially an ideal diatomic gas has pres...

Initially an ideal diatomic gas has pressure `p_i =2.00 xx 10^5 ` Pa and volume `V = 4.00 xx 10^3 `m`""^3`. How much work w does it do, and what is the change `Delta E_( i n t)`, in its internal energy if it expands adiabatically to volume `V_f = 8.00 xx 10^(-6) m^3`?Throughout the process, the molecules have rotation but not oscillation.

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To solve the problem, we need to find the work done by the gas during an adiabatic expansion and the change in its internal energy. Let's break it down step by step. ### Step 1: Understand the Adiabatic Process In an adiabatic process, there is no heat exchange with the surroundings (Q = 0). According to the first law of thermodynamics: \[ \Delta U = Q - W \] Since \(Q = 0\) for an adiabatic process, we have: ...
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