Question

A sample of hydrogen gas has an initial pressure of 2.86 atm and an initial volume of 8472 mL If the volume of the

Answer 1

Answer:

Gas law : Boyle's law

New pressure: 66.24 atm

Explanation:

Concept tested: Gas laws (Boyle's law)

We are given,

• Initial pressure, P₁ = 2.86 atm
• Initial volume, V₁ = 8472 mL
• New volume, V₂ IS 365.8 mL

We need to determine the new pressure, P₂

• According to Boyle's law , the volume of a fixed mass of a gas and the pressure are inversely proportional at constant temperature.

• That is, $P\alpha \frac{1}{V}$
• This means , PV = k (constant)
• Therefore; P₁V₁ = P₂V₂

• Rearranging the formula, we can get the new pressure, P₂

P₂ = P₁V₁ ÷ V₂

   = (2.86 atm × 8472 mL) ÷ 365.8 mL

   = 66.24 atm

Therefore, the new pressure is 66.24 atm