A room is 64 m by 55 m by 3 m 1 If the air pressure in the r

A room is 6.4 m by 5.5 m by 3 m.

1) If the air pressure in the room is 1 atm and the temperature is 301 K, find the number of moles of air in the room.

2) If the temperature rises by 7 K and the pressure remains constant, how many moles of air leave the room ?

Volume of room, V =6.4 x 5.5 x 3 m^3 = 105.6 m^3

1) P = 1 atm = 101325 Pa

T = 301 K

Applying, P V = n R T

(101325) (105.6) = n (8.314)(301)

n = 4275.67 moles

2) now T = 301 +7 = 308 K

nf = P V / R T = (101325) (105.6) / (8.314 x 308) = 4178.5 moles

hence n - nf = 97.2 moles left the room.