Physics, asked by maitreyagaul, 5 months ago

Q. No. 24: The equation of state for 7 g of nitrogen gas at a pressure P'and 1 point
temperature 'T' occupying a volume 'V' will be:​

Answers

Answered by nirman95
3

To find:

The equation of state for 7 g of nitrogen gas at a pressure 'P'and temperature 'T' occupying a volume 'V' will be ?

Calculation:

In order to do the calculations easily, we need to consider nitrogen as an IDEAL GAS , such that it will follow the ideal gas equation:

  \sf\therefore \: PV = nRT

  • Here , "n" refers to the number of moles of ideal gas. The Equation can be rearranged as follows:

  \sf\implies\: PV =  \bigg( \dfrac{given \: mass}{molar \: mass}  \bigg)\times  RT

  \sf\implies\: PV =  \bigg( \dfrac{7}{14 + 14}  \bigg)\times  RT

  \sf\implies\: PV =  \bigg( \dfrac{7}{28}  \bigg)\times  RT

  \sf\implies\: PV =  \bigg( \dfrac{1}{4}  \bigg)\times  RT

  \sf\implies\: PV =  \dfrac{ RT}{4}

So, the required Equation will be:

  \boxed{ \bf{ \red{\: PV =  \dfrac{ RT}{4}}}}

Similar questions