What fraction of air molecules leave when furnace heats house from 16°C to 20°C?

[pyizzle]

HW Help: Absolute temp and ideal gas law

Homework Statement

What fraction of the air molecules in a house must be pushed outside while the furnace raises the inside temperature from 16C to 20C? The pressure does not change since the house is not 100% airtight.

Homework Equations

PV=NkT
PV/T=PV/T
?

The Attempt at a Solution

NkT=NkT? N2/N1 = T2/T1. N2 = .80N1. Answer provided is .0136. I can't figure how that answer comes about. Help would be grateful. Thanks.

 

[Dick]

You need to take the temperature ratio in degrees Kelvin i.e. T=0 should be absolute zero.

 

[Chronos]

Assuming the pressure inside the house does not change, your formula is correct. It's OK to solve in degrees C, the answer is relational.