## Can someone explain the relationship of temperature to U?

$w=-P\Delta V$
and
$w=-\int_{V_{1}}^{V_{2}}PdV=-nRTln\frac{V_{2}}{V_{1}}$

Lucia H 2L
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### Can someone explain the relationship of temperature to U?

We learned that in constant temperature conditions, internal energy is constant. Why is this? Can heat and work change if T is constant?

Chem_Mod
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### Re: Can someone explain the relationship of temperature to U?

$\Delta U = \frac{3}{2}*n*R*\Delta T$
With this equation, you can see that when change in temperature is zero, change in internal energy is also zero. Since $\Delta U = q + W$, $q=-W$ when change in internal energy is zero.