Verified Answer :

Data:
Molar Mass of NaOH = 40 g/mol

Solving: According to the Law Avogradro, we have in 1 mole of a substance, 6.02x10²³ atoms/mol or molecules

1 mol -------------------- 6.0210²³ molecules
y mol -------------------- 2.70
10²² molecules

6.0210²³y = 0.27010²³ 
\(y = \frac{0.270*\diagup\!\!\!\!\!\!10^{\diagup\!\!\!\!\!\!23}}{6.02*\diagup\!\!\!\!\!\!10^{\diagup\!\!\!\!\!\!23}}\)
\(\boxed{y \approx 0.04\:mol}\)


Solving: Find the mass value now

40 g ----------------- 1 mol of NaOH
x g ------------- 0.04 mol of NaOH

\(x = 40*0.04\)
\(\boxed{\boxed{x = 1.6\:g}}\end{array}}\qquad\quad\checkmark\)

Answer:
The mass is 1.6 grams