20 cubic inches of a gas with an absolute pressure of 5 psi is compressed until its pressure reaches 10 psi. what's the new volume of the gas? (assume that there's no change in temperature.)

a. 100 cubic inches
b. 10 cubic inches
c. 40 cubic inches
d. 5 cubic inches

B. 10 cubic inches

Explanation:

Boyle's Law: States that the volume of a given mass of gas is inversely proportional to its pressure provided that temperature is constant.

Mathematically, Boyle's law can be expressed as

P₁V₁ =P₂V₂ Equation 1

making V₂ the subject of formula in the equation above,

V₂ = P₁V₁/P₂ Equation 2

P₁ =initial pressure, V₁ = initial volume, P₂ = final pressure, V₂ = final Volume.

Given: P₁ = 5 psi, V₁ = 20 cubic inches, P₂ = 10 psi.

Substituting these values into equation 2

V₂ = (5 × 20)/10

V₂  = 10 cubic inches.

Therefore the new volume = 10 cubic inches

The right option is B. 10 cubic inches.

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