Question

A .115 L sample of dry air has a pressure of 1.0895633 atm at 377 K. What is the volume of the sample if the temperature is increased to 483 K when the pressure is kept constant?

Answer 1

V= 0.147 L

Step-by-step explanation:

This is simply the application of combined gas law twice, to find the unknowns.

Combined gas law states that:
`PV = nRT`

P= pressure of air

V= volume of air

n= moles of air

R= Universal gas constant ( 0.08205 L atm mol⁻¹ K⁻¹)

T= Absolute temperature in kelvin.

`n=(P * 0.115)/(R * 377)`

Now, applying the same gas law at 483K and substituting for n

`V = (P * 0.115)/(R * 377) * (R* 483)/(P)`

V=
`(0.115 * 483)/(377)`

V= 0.147 L