Question

How many molecules of methane are present in a sample that contains $1.0\times {10}^{10}$ moles of methane?

• A. $6.0\times {10}^{23}$
• B. $1.0\times {10}^{33}$
• C. $6.0\times {10}^{33}$
• D. $6.0\times {10}^{24}$

Answer 1

The correct option is C $6.0\times {10}^{33}$

$1mole$ of metane has $6.023\times {10}^{23}$ molecules of methane.

$1mole=$$6.023\times {10}^{23}$ molecules

${10}^{10}moles\to x$

$x=$ $(6.023\times {10}^{23})\times {10}^{10}=$ $6.023\times {10}^{33}$ molecules

So, ${10}^{10}moles$ has approximately $6.0\times {10}^{33}$ molecules