To find the temperature of a given amount of gas in a container, we can use the ideal gas law equation:
PV = nRT
Where: P = Pressure in atmospheres (ATM) V = Volume in liters (L) n = Number of moles of gas R = Ideal gas constant (0.0821 L·atm/mol·K) T = Temperature in Kelvin (K)
We can rearrange the equation to solve for T:
T = (PV) / (nR)
Plugging in the values:
P = 4.68 ATM V = 2.00 L n = 0.395 mol R = 0.0821 L·atm/mol·K
T = (4.68 ATM * 2.00 L) / (0.395 mol * 0.0821 L·atm/mol·K)
T = 23.9 K
Therefore, the temperature of 0.395 mole of neon in a 2.00 L vessel at 4.68 ATM is approximately 23.9 K.