Question

112 cm³ of nitrogen gas is collected at a pressure of 720mm of mercury. If the temperature remains constant, find its volume when the pressure is 760 mm of mercury.

Answer 1

Step 1: Analyzing the given data

Initial condition:

P₁ = 720 mm

V₁ = 112 cm³

Final condition:

P₂ = 760 mm

V₂ = ?

Step 2: Calculating the final volume of gas

Since, the temperature remains constant, according to Boyle's law pressure of a gas is inversly proportional to the volume of gas.

Formula : ${\mathrm{P}}_1{\mathrm{V}}_1={\mathrm{P}}_2{\mathrm{V}}_2$

$$\begin{gathered} 720\mathrm{mm}\times 112{\mathrm{cm}}^3=760\mathrm{mm}\times {\mathrm{V}}_2 \\ \frac{720\mathrm{mm}\times 112{\mathrm{cm}}^3}{760\mathrm{mm}}={\mathrm{V}}_2 \\ {\mathrm{V}}_2=\frac{80640}{760}{\mathrm{cm}}^3 \\ {\mathrm{V}}_2=106.1{\mathrm{cm}}^3 \end{gathered}$$

Thus, the final volume is 106.1 cm³.