# What will be the ideal gas equation for the following.

## When,

*p* = specific pressure

*v* = specific volume

*P* = Total pressure of gas

*V*= Total volume of gas

*R* = Characteristic gas constant

*n* = number of moles in gas

*m* = mass of the gas

*T* = Temperature of the gas

then the ideal gas equation will be

a. *v =m R T*

b. *P V = R T*

c. *P V = m R T*

d. all of the above

Correct Answer : c. *P V = m R T*

**Explanation :**

The pressureâ€“volume â€“temperature relation of any gas at low pressure is given by,

*p v = R T*

where R is the universal gas constant and is the molar specific volume, m^{3}/gmol. Dividing it by the molecular weight μ,

*p v = R T*

where *v* is the specific volume in, m^{3}/kg and R is the characteristic gas constant.

In terms of total volume of gas we can wright this equation as,

*P V = n R T*

*P V = m R T*

where n is the number of moles and m is mass of gas. This equation is called as ideal gas equation of state.