3.2 g of S is heated to occupy a volume of 780 ml at 4500C and 723 mm pressure. Formula of sulphur is

# 3.2 g of S is heated to occupy a volume of 780 ml at ${450}^{0}C$ and 723 mm pressure. Formula of sulphur is

1. A

${S}_{2}$

2. B

S

3. C

${S}_{4}$

4. D

${S}_{8}$

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### Solution:

$\mathrm{PV}=\frac{\mathrm{w}}{\mathrm{M}}\mathrm{RT}$

$\frac{723}{760}×\text{\hspace{0.17em}}\frac{780}{1000}=\frac{3.2}{\mathrm{m}}\text{\hspace{0.17em}}×\text{\hspace{0.17em}\hspace{0.17em}}0.0821\text{\hspace{0.17em}\hspace{0.17em}}×\text{\hspace{0.17em}\hspace{0.17em}}683$

M = 256

$\therefore \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\mathrm{Atomicity}\text{\hspace{0.17em}\hspace{0.17em}}=\text{\hspace{0.17em}\hspace{0.17em}}\frac{256}{32}\text{\hspace{0.17em}}=8$

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