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Question

Number of moles and number of molecules in 1.4187 L of ${SO}_{2}$ at STP respectively are

Options

A.$0.1266;3.812 \times 10^{22}$
B.$0.0633;3.812 \times 10^{22}$
C.$0.1266;7.6238 \times 10^{22}$
D.$0.0633;7.6238 \times 10^{22}$

Solution

Sol. [Key Concept: Moles $= \frac{V}{22.7}$ at STP; number of molecules $=$ moles $\times 6.022 \times 10^{23}$.]

$\ $ moles $= \frac{V\text{~}\text{lit}\text{~}}{22.7\text{~}\text{lit}\text{~}} \Rightarrow \frac{1.4187\text{~}\text{lit}\text{~}}{22.7\text{~}\text{lit}\text{~}} \Rightarrow 0.0633$

no. of molecules $=$ moles $\times 6.023 \times 10^{23}$

$${\Rightarrow 0.0633 \times 6.032 \times 10^{3} }{= 3.812 \times 10^{22} }$$

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