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Using U=(3/2)*R*T, we know that this is the internal energy for an ideal gas. So that means the only thing changing U is temperature since (3/2) and R are constants. So since isothermal means the temperature doesn't change, deltaU=0.
For an ideal gas, delta U = (3/2)*R*delta T. If a system with an ideal gas is isothermal, then temperature remains constant, meaning delta T=0. Hence, if you calculate delta U with the aforementioned formula, delta U is also 0.
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