24P2Q02

2a)

There is negligible intermolecular forces except during collisions.

2b)

The summation of microscopic kinetic energy due to random motion of the molecules.

COMMENT: For an ideal gas, there is no microscopic potential energy.

2ci)

$\displaystyle \begin{aligned}KE&=U \\&=\frac{3}{2}NkT \\&=\frac{3}{2}(2.50\times {{10}^{23}})(1.38\times {{10}^{-23}})(273.15+21) \\&=1520\,J \end{aligned}$

2cii)

$\displaystyle \begin{aligned}\Delta U&=\frac{3}{2}Nk\Delta T \\&=\frac{3}{2}(2.50\times {{10}^{23}})(1.38\times {{10}^{-23}})(15) \\&=77.625\text{ J} \end{aligned}$
.

$\displaystyle \begin{aligned}{{W}_{on}}&=-p\Delta V \\&=-(1.0\times {{10}^{5}})(+6.3\times {{10}^{-4}}) \\&=-63\text{ J} \end{aligned}$
.

$\displaystyle \begin{aligned}\Delta U&=Q+{{W}_{on}} \\77.625&=Q+(-63) \\Q&=141\,\text{J} \end{aligned}$

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24P2Q02

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