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The molar internal energy of a gas over ...

The molar internal energy of a gas over a temperature range is expressed as: `U_(m) (T) =a +bT +cT^(2)`, where `b = 16 J mol^(-1)K^(-1)`and `c = 6 xx 10^(-3) J mol^(-1)K^(-2)`. Find:
a. `C_(V,m)at 300K`
b. The entropy change when `1 mol` of a gas is heated from `300K` to `600K` at constant volume.

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To solve the given problem, we will break it down into two parts: ### Part A: Finding \( C_{V,m} \) at 300 K 1. **Given Information**: - The molar internal energy is given as: \[ U_m(T) = a + bT + cT^2 ...
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