Question

1a Determine the possible number of macroscopic states for 15 molecules in two intersecting cells of equal volume.

b.detrmine the possible number of microscopic states.

c,determine the possible number of microscopic states for 8 molecules in cell A and 7 molecules in cell B.

Answer 1

1.

$g_i=15,n_i=2$

Macroscopic state

^gC_n

Marcroscopic state

$\frac{g_i!}{g_i-n_i ! n_i}$

_{Put value}

macroscopic state

$\frac{15!}{(15-2)! 2!}=105$

2.

Macroscopic format

$n_iC^{g_i}$

$=\frac{g_i!}{g_i-n_i ! n_i}$

3

$g_i=7,g_i=8\\n_i=1,n_i=1$

$C_1^7\times C_1^8$

$\frac{7!}{6!\times 1!}\times\frac{8!}{7!\times 1!}=7\times8=56$