# <span lang="EN-US

Given:

Temperature of air outside the room=0 =273.15K

Temperature of air inside the room=20 =293.15K

Relative humidity at 0 =40% Let vapor pressure of air P1.  SVP at 0 =4.6mm of Hg

P1=0.4 4.6=1.84mm of Hg

Volume of room is not changed so, applying ideal gas equation at 0 and 20 .

We know ideal gas equation

PV=nRT

Where V= volume of gas

R=gas constant =8.3JK-1mol-1

T=temperature

n=number of moles of gas

P=pressure of gas.

We get,  Relative humidity inside home i.e. at temperature 20 SVP at 20 =18mm of Hg   The relative humidity in the room is 10.9%.

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