Question

An ideal gas is at a temperature of 30 degrees celcius and a pressure of 2.00 atmospheres. What is the number of particles per unit volume of the gas? (Answer should be 4.86x10^25/m^3)

PLEASE SHOW WORK

Answer 1

Answer 2

ideal gas equation

PV =nRT

n/V = P/RT = 2*10^5 / (8.314*(30+273)) = 80.72 moles ( P in Pa, T in Kelvin)

number of particles = 80.72*6.023*10^23 = 4/14*1.2*6 / m^3

Answer 3

P = 2 atm = 2*1.013*10^5 = 2.026*10^5 Pa

T = 30 + 273 = 303 K

we know,

P*V = n*R/T

n/V = P/R*T

= 2.026*10^5/(8.314*303)

= 8.042*10^-4 mole/m^3

= 8.042*10^-4*6.023*10^23 molecules/m^3

= 4.844*10^25 molecules/m^3