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

I just started learning about kinetic molecular theory, and I’m not sure how to answer-example-1

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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=(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=((1atm)* (22.4L))/((1mole)* (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).

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