Question

Air at 273 K and 1.01x10^5 N/m2 pressure contains 2.70x10^25 molecules per cubic meter. How many molecules per cubic meter will there be at a place where the
temperature is 223 K and the pressure is 1.33x10^4 N/m2?​

Answer 1

Answer:

4.35 ×10^24 molecules

Explanation:

Given:

first case

Temperature

(T 1 ) = 273 K

Pressure

(P 1 ) = 1.01 ×10 5 Nm 2

No. of molecules per unit volume

(N/V)= 2.7 ×10 25 molecules/m 3

Second case,

Temperature

T 2 ) = 223 K

Pressure

P 2 ) = 1.33 ×10 4 Nm 2

No. of molecules

per unit volume

(N/V)=???

We have,

(N/V)= P1/(KT1). . . . . . i )

(N/V)= P2/(KT). . . . . . ii)

Dividing (ii) by (

i ) we

(N/V)/(N/V)=

(P2/KT)/(P1KT1)

Or,

(N/V)= (P2T1/P1T2)×(N/V)1= . . ....4.35 ×10^24 molecules