Question

Nitrogen has a density of 1.17 x 10^-3 g/cm^3. If you have 2,500 cm^3 of nitrogen gas, which of the following is the correct mass of nitrogen, using significant figures?
A. 2.92 g

B. 2.2 x 10^6g

C. 14 x 10^6g

D. 2.9 g

Answer 1

I think the correct answer from the choices listed above is option D. The correct mass of nitrogen would be 2.9 g. The mass is calculated by multiplying the density and the volume of the substance. The correct answer should have two significant figures since it is the least precise operation.

Answer 2

Answer : The correct option is, (A) 2.92 g

Explanation :

Density : It is defined as the mass of a substance contained per unit volume.

Formula used :

$Density=\frac{Mass}{Volume}$

Given :

Density of nitrogen gas = $1.17\times 10^{-3}g/cm^3$

Volume of nitrogen gas = $2500cm^3$

Now we have to determine the mass of nitrogen gas.

By using formula, we get:

$1.17\times 10^{-3}g/cm^3=\frac{Mass}{2500cm^3}$

$Mass=2.92g$

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

In this problem, the least number of significant figures is 3. So, the answer will be in 3 significant figures.

Therefore, the mass of nitrogen gas is 2.92 grams