Question

A gas occupies a volume of 2.50 L at a pressure of 350.0 kPa. If the temperature remains

constant, what volume would the gas occupy at 1750 kPa ?
1. 12.5 L
2. 5.00 L
3. 1.40e+2L
4. 0.500 L

Answer 1

V₂ = 0.5 L

Step-by-step explanation:

Given that,

Initial volume, V₁ = 2.5 L

Pressure, P₁ = 350 kPa

New pressure, P₂ = 1750 kPa

We need to find the new volume if the temperature remains constant. The mathematical relation between P and V is :

`P\propto (1)/(V)\\\\or\\\\(P_1)/(P_2)=(V_2)/(V_1)`

Where

V₂ is new volume

So,

`V_2=(P_1V_1)/(P_2)\\\\V_2=(350* 2.5)/(1750)\\\\V_2=0.5\ L`

So, the new volume is equal to 0.5 L.