Question

A sample of gas occupies 9.0 mL at a pressure of 500.0 mm Hg. A new volume of the same sample is at a pressure of 750.0 mm Hg.

1. Is the new pressure smaller or larger than the original?
2. Therefore, is the new volume larger or smaller than 9.0 mL?
3. What is this new volume?

Thank you to anyone who helps! Giving all my points.

Answer 1

Is the new pressure smaller or larger than the original?

larger

Therefore, is the new volume larger or smaller than 9.0 mL?

smaller

What is this new volume?

6.0 mL

Answer 2

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).