Answer to Question #112444 in General Chemistry for salawat Adam

Question

A sample of a gas at room temperature occupies a volume of 36.0 L at a pressure of 582 torr . If the pressure changes to 2910 torr , with no change in the temperature or moles of gas, what is the new volume, V2?

Answer 1

P₁ = 582 torr;

V₁ = 36.0 L;

P₂ = 2910 torr;

V₂ = unknown;

T = constant.

Solution:

Let's use Boyle's law to solve this problem.

Boyle's law can be expressed as:

P₁V₁ = P₂V₂

Substitute the values and solve for V2

V₂ = (P₁×V₁) / (P₂)

V₂ = (582 torr × 36.0 L) / (2910 torr) = 7.2 L

V₂ = 7.2 L

Answer: The new volume (V₂) will 7.2 L.