Question

The total number of air
molecules in a room of
capacity 20m² at a
temperature of 27°C and 1
atm pressure is​

Answer 1

Answer:

total no of air molecules I a room of capacity of 27degree is not countable

Answer 2

Step-by-step explanation:

GIVEN :-

Temperature , T = 27 °C = 27 + 273 = 300 K

Volume , V = 20 m³

Pressure , P = 1 atm = 10⁵ Pa

( here , Pa = Pascal )

Now ,

$Number of moles , n = \frac{PV}{RT} \\ \\ n \: = \: \frac{ {10}^{5} \times 20}{8.314 \times 300} \\ \\ n \: = \frac{1000 \times 20}{25} = 800$

Number of molecules , N = n × NA

= 800 × 6.022 × 10²³

= 8 × 6.022 × 10²⁵

= 48.17 × 10²⁵

We know that ,

NA = Avogadro's number = 6.022 × 10²³

R = Molar gas constant = 8.314 m² kg s^-2 K^-1 mol^-1