Question

A sample of gas initially has a volume of 1.42 L at 293 K and 1.30 atm. What volume will the sample have if the pressure changes to 1.50 atm while the temperature is increased to 322 K?

Answer 1

1.35 litres is the volume will the sample have if the pressure changes to 1.50 atm while the temperature is increased to 322 K.

Explanation:

Data given:

initial volume in the sample pf gas V1 = 1.42 L

initial temperature of the sample of gas T1 = 293 K

Initial pressure of the gas P1 = 1.30 atm

final pressure of the sample of gas  P2= 1.50 atm

final temperature of the sample of gas T2 = 322 K

Final volume V2 = ?

following formula is used:

$\frac{P1V1}{T1}$ = $\frac{P2V2}{T2}$

V2 = $\frac{P1V1T2}{P2T1}$

putting the values in the equation:

V2 = $\frac{322 X 1.42 X 1.30}{1.50 X 293}$

   = 1.35 Litre is the volume

When pressure and temperature of the gas is changed the volume becomes 1.35 litres.