Question

If the pressure on 36.0 mL of a gas at STP is changed to a pressure of 35.3 kPa at constant temperature, the new volume of the gas is:

Answer 1

The new volume of the gas : 103.334 ml

Further explanation

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)`

1 kPa = 0,00986923 atm

35.3 kPa = 0,3483839 atm

at STP ( 0°C, 1 atm) with volume 36 ml changed to 35.3 kPa :

P₁=1 atm

V₁=36 ml

P₂= 0,3483839 atm

The new volume(V₂) :

`\tt V_2=(P_1.V_1)/(P_2)\\\\V_2=(1* 36)/(0,3483839)=103.334~ml`