Question

I just started learning about kinetic molecular theory, and I’m not sure how to answer the question circled below

Answer 1

Answer : The value of 'R' is $0.0821\text{ L atm }mol^{-1}K^{-1}$

Solution : Given,

At STP conditions,

Pressure = 1 atm

Temperature = 273 K

Number of moles = 1 mole

Volume = 22.4 L

Formula used :     $R=\frac{PV}{nT}$

where,

R = Gas constant

P = pressure of gas

T = temperature of gas

V = volume of gas

n = number of moles of gas

Now put all the given values in this formula, we get the values of 'R'.

$R=\frac{(1atm)\times (22.4L)}{(1mole)\times (273K)}$

$R=0.0821\text{ L atm }mol^{-1}K^{-1}$

Therefore, the value of 'R' is $0.0821\text{ L atm }mol^{-1}K^{-1}$.