Chapter 3: Q19E (page 611)

(a) Calculate the mass of nitrogen present in a volume of 3000 cm³if the gas is at 22.0°C and the absolute pressure of 2.00 $10^{- 13}$ atm is a partial vacuum easily obtained in laboratories. (b) What is the density (in kg/ $m^{3}$ ) of the $N_{2}$ ?

Short Answer

Expert verified

Mass of nitrogen is $6.95 \times 10^{- 16} k g$
Density of $N_{2}$ is $2.32 \times 10^{- 13} k g / m^{3}$

Step by step solution

Ideal Gas Equation

Given data:

_{$V = 3000 \times 10^{- 6} m^{3} T = 295 K P = 2 \times 10^{- 13} a t m$}

Calculating (n) by using the Ideal gas equation

_{$P V = n R T n = \frac{P V}{R T} n = \frac{2 \times 10^{- 13} \times 1.013 \times 10^{5} \times 3 \times 10^{- 3}}{8.315 \times 295} n = 2.48 \times 10^{- 14}$}

Mass of Nitrogen

The mass of $N_{2}$ is $m = n \times M$

Here $M = 28 \times 10^{- 3} k g / m o l$

So, the mass is

_{$m = n \times M = 2.48 \times 10^{- 14} \times 28 \times 10^{- 3} = 6.95 \times 10^{- 16} k g$}

Mass of nitrogen is $6.95 \times 10^{- 16} k g$ .

Density of nitrogen

For density of $N_{2}$

_{$ρ = \frac{m}{V} = \frac{6.95 \times 10^{- 16}}{3 \times 10^{- 3}} = 2.32 \times 10^{- 13} k g / m^{3}$}

Therefore, Density of_{$N_{2}$} is $2.32 \times 10^{- 13} k g / m^{3}$ .

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(a) Calculate the mass of nitrogen present in a volume of 3000 cm³if the gas is at 22.0°C and the absolute pressure of 2.00 $10^{- 13}$ atm is a partial vacuum easily obtained in laboratories. (b) What is the density (in kg/ $m^{3}$ ) of the $N_{2}$ ?

Short Answer

Step by step solution

Ideal Gas Equation

Mass of Nitrogen

Density of nitrogen

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(a) Calculate the mass of nitrogen present in a volume of 3000 cm3if the gas is at 22.0°C and the absolute pressure of 2.0010-13atm is a partial vacuum easily obtained in laboratories. (b) What is the density (in kg/m3) of theN2?

Short Answer

Step by step solution

Ideal Gas Equation

Mass of Nitrogen

Density of nitrogen

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Wave Optics

Fields in Physics

Particle Model of Matter

Work Energy and Power

Quantum Physics

Study anywhere. Anytime. Across all devices.

(a) Calculate the mass of nitrogen present in a volume of 3000 cm³if the gas is at 22.0°C and the absolute pressure of 2.00 $10^{- 13}$ atm is a partial vacuum easily obtained in laboratories. (b) What is the density (in kg/ $m^{3}$ ) of the $N_{2}$ ?