Question

1 mole of a gas occupies a volume of 1 litre at 300 k . what will be the pressure of gas?​

Answer 1

Given:-

• Moles= n = 1

• Volume = V = 1 L

• Temperature = T = 300 K

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Need to find:-

• Pressure of gas = ?

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Solution:-

Considering the gas as ideal gas,

By ideal gas formula we know,

PV = nRT

The value of gas constant

= R

= 8.314 J/Mol K

= (25 /3 ) J/Mol K

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Substitute the values:-

PV = nRT

$\implies P= \dfrac{nRT}{V}$

$\implies P= \dfrac{1\times \dfrac{25}{3} \times 300}{1} atm$

$\implies P= \dfrac{1\times 25\times 100}{1}atm$

$\implies P= \dfrac{2500}{1} atm$

$\red{\boxed {\bold{\implies P= 2500\:atm}}}$