Oprevent tank rupture during deep-space travel, an engineering team is studying the effect of temperature on gases confined to small volumes. what is the pressure of 3.40 mol of gas d measured at 251 ∘c in a 1.75-l container assuming ideal behavior?

To calculate for the pressure of the system, we need an equation that would  relate the number of moles (n), pressure (P), and temperature (T) with volume (V). There are a number of equations that would relate these values however most are very complex equations. For simplification, we assume the gas is an ideal gas. So, we use PV = nRT.

PV = nRT  where R is the universal gas constant
P = nRT / V

P = 3.40 mol ( 0.08205 L-atm / mol-K ) (251 + 273.15 K) / 1.75 L 

P = 83.56 atm

Therefore, the pressure of the gas at the given conditions of volume and temperature would be 83.56.

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.