Answer:
To solve this problem, we can use the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the temperature from Celsius to Kelvin by adding 273.15:
T = 19.3 + 273.15 = 292.45 K
Next, we can plug in the given values and solve for P:
P = nRT/V
P = (10.89 mol)(0.08206 L·atm/mol·K)(292.45 K)/(5.70 L)
P = 47.4 atm
Therefore, the pressure of the helium gas is 47.4 atm.