Question

the density of hydrogen is 0.0000899 $\frac{g}{cm^{3}}$. which of the following would be a reasonable estimate of the density of hydrogen?
oa. 8 x 10−5 $\frac{g}{cm^{3}}$
ob. 9 x 10−5 $\frac{g}{cm^{3}}$
oc. 8 x 10−4 $\frac{g}{cm^{3}}$
od. 9 x 10−4 $\frac{g}{cm^{3}}$

Explanation:

Step1: Rewrite the given density in scientific - notation

The given density of hydrogen is $0.0000899\ \frac{g}{cm^{3}}$. In scientific - notation, we move the decimal point 5 places to the right, so it is $8.99\times10^{- 5}\ \frac{g}{cm^{3}}$.

Step2: Round the coefficient

Rounding the coefficient $8.99$ to the nearest whole number, we get $9$. So a reasonable estimate of the density of hydrogen is $9\times10^{-5}\ \frac{g}{cm^{3}}$.

Answer:

B. $9\times 10^{-5}\ \frac{g}{cm^{3}}$