Question

Supposed you have a gas in a container being pressed down by a piston. The initial volume of the gas is 5.0 m3 and the pressure is 7.5 mmHg. If the volume decreases to 4.0 m3, what is the pressure? The product of the volume and pressure remain constant.

Answer 1

$P_{1} V_{1} =P_{2} V_{2}$

• P₁ = 7.5 mmHg
• V₁ = 5.0 m³
• P₂ = ?
• V₂ = 4.0 m³

Plug and chug.

7.5 × 5.0 = 4.0P

37.5 = 4.0P

9.4 = P

Answer:

The final pressure is 9.4 mmHg.