Question

A sample of gas occupies 9.0 mL at a pressure of 500 mmHg. A new volume of the same sample is at 750 mmHg. Use two significant figures in answer on volume. Is the new pressure smaller or larger than the original? Therefore, is the new volume larger or smaller than 9.0 mL? What is this new volume? mL

Answer 1

The New pressure (750 mmHg) is greater than the original pressure (500 mmHg) hence, the new volume (6.0 mL) is smaller than the original volume (9.0 mL).

Solution:

According to Boyle's Law, " The Volume of a given mass of gas at constant temperature is inversely proportional to the applied Pressure". Mathematically, the initial and final states of gas are given as,

P₁ V₁ = P₂ V₂ ----------- (1)

Data Given;

P₁ = 500 mmHg

V₁ = 9.0 mL

P₂ = 750 mmHg

V₂ = ??

Solving equation 1 for V₂,

V₂ = P₁ V₁ / P₂

Putting values,

V₂ = (500 mmHg × 9.0 mL) ÷ 750 mmHg

V₂ = 6.0 mL

Result:

The New pressure (750 mmHg) is greater than the original pressure (500 mmHg) hence, the new volume (6.0 mL) is smaller than the original volume (9.0 mL).