If you are given an ideal gas with pressure (p)259,392.00 pa and temperature (t)=200°c of 1 mole argon gas in a volume 8.8dm3,calculate r to the correct number of significant figure and units under given conditions

Explanation:

The Ideal Gas equation is:  

 (1)

Where:  

is the pressure of the gas  

the number of moles of gas  

is the gas constant  

is the absolute temperature of the gas in Kelvin.

is the volume

It is important to note that the behavior of a real gas is far from that of an ideal gas, taking into account that an ideal gas is a single hypothetical gas. However, under specific conditions of standard temperature and pressure (T=0\°C=273.15 K and P=1 atm=101,3 kPa) one mole of real gas (especially in noble gases such as Argon) will behave like an ideal gas and the constant R will be .

However, in this case we are not working with standard temperature and pressure, therefore, even if we are working with Argon, the value of R will be far from the constant of the ideal gases.

Having this clarified, let's isolate from (1):

 (2)

Where:

is the absolute temperature of the gas in Kelvin.

 (3)

Finally: