What is the pressure in a 1.5 L vessel containing 0.25 moles of )2 if the temperature is 37 degrees C? R the universal gas constatn is 0.082 L atm/mole K
Use P:V = nRT and solve for P. Remember T must be in kelvin and V in L.
To find the pressure in the given vessel, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume of the vessel (in liters)
n = number of moles of gas
R = universal gas constant (0.082 L atm/mole K)
T = temperature (in Kelvin)
First, let's convert the temperature from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 37 °C + 273.15
T(K) = 310.15 K
Next, let's substitute the given values into the ideal gas law equation and solve for pressure (P):
P * 1.5 L = 0.25 moles * 0.082 L atm/mole K * 310.15 K
Simplifying the equation:
P * 1.5 = 0.0202625
Finally, solving for pressure (P):
P = 0.0202625 / 1.5
The pressure in the vessel is approximately 0.0135 atm.