Question

< 30%) Question 14 of 14 Attempt 2 > A sample of an ideal gas has a volume of 2.37 L at 289 K and 1.06 atm. Calculate the pressure when the volume is 1.36 the temperature is 308 K. ON) - P= 1 Jaume TOOLS x10"

Answer 1

We know the ideal gas law equation

PV = nRT

hence nR = PV/T

So as nR is constant , we will have

P₁V₁/T₁ = P₂V₂/T₂ ,...............................(1)

Lets see for first conditions

P₁ = 1.06 atm

V₁ = 2.37 L

T₁ = 289 K

and for 2nd condition

P₂ = ?

V₂ = 1.36 L

T₂ = 308 K

Lets put these values in (1), we get

1.06 atm $\times$ 2.37 L / 289 K = P₂$\times$ 1.36 L / 308 K

by rearranging and solving

P₂ = 1.97 atm

So our answer is 1.97 atm