Question

O prevent 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?

Answer 1

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.