Question

. A party-supply store sells a helium-gas cylinder with a volume a 0.0155 cubic meters. If the cylinder provides 1.81 cubic meters of helium for balloon inflation (at STP), what must be the pressure inside the cylinder

Answer 1

The pressure inside the cylinder is 8.6 × 10⁻³ atm

Explanation:

At STP, the pressure is 1 atm. As per the Boyle's law, if the temperature of a gas is kept constant then its volume and pressure are inversely proportional to each other. So P₁V₁= P₂V₂

Now we have to find the P₂ as$\frac{P1V1}{V2}$

Inserting the given values, in the above expression, P1 = 1 atm, V1 = 0.0155 m³, V2 = 1.81 atm, P2 = ?, we will get P2 as,

P₂ = $\frac{0.0155\times1}{1.81}$ = 8.6 × 10⁻³ atm

So the pressure inside the cylinder is 8.6 × 10⁻³ atm