Methane crystallizes in a cubic unit cell with edge length \( 0.6 \mathrm{~nm} \). The density o...

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Methane crystallizes in a cubic unit cell with edge length \( 0.6 \mathrm{~nm} \). The density of solid \( \mathrm{CH}_{4} \) is only slightly greater than the density of liquid \( \mathrm{CH}_{4} \). If the density of liquid \( \mathrm{CH}_{4} \) is \( 0.5 \mathrm{~g} / \mathrm{cm}^{3} \), then the number of \( \mathrm{CH}_{4} \) molecules per unit cell is
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