Question

If a gas had a volume of 6.7 L and started at STP, what would the new pressure be

if the volume ended at 1.5 L?

Answer 1

The new pressure would be = 4.46 atm

Further explanation

Given

V₁=6.7 L(at STP, 1 atm 273 K)

V₂=1.5 L

Required

The new pressure

Solution

Boyle's Law

At a constant temperature, the gas volume is inversely proportional to the pressure applied

`\rm p_1V_1=p_2.V_2\\\\(p_1)/(p_2)=(V_2)/(V_1)`

P₂ = (P₁V₁)/V₂

P₂ = (1 atm x 6.7 L)/1.5 L

P₂ = 4.46 atm