How many moles of helium gas occupy 22.41 at 0°C at 1 atm. Pressure
Correct answer: C. 1.0
- A. 011
- B. 0.90
- C. 1.0
- D. 1.11
Explanation
To find the number of moles of a gas, you can use the ideal gas law equation:PV=nRTWhere:● P is the pressure of the gas (in atm),● V is the volume of the gas (in liters),● n is the number of moles of the gas,● R is the ideal gas constant (0.0821 L⋅atm/mol⋅K0.0821L⋅atm/mol⋅K),● T is the temperature of the gas (in Kelvin).Given:● P=1atm (pressure),● V=22.41L (volume),● T=0∘C (temperature).Convert the temperature to Kelvin: TK=T∘C+273.15TK =0+273.15TK =273.15KNow, substitute these values into the ideal gas law equation:(1 atm)⋅(22.41 L)=n⋅(0.0821 L⋅atm/mol⋅K)⋅(273.15 K)Solve for n (number of moles):22.41=n⋅22.4145n≈22.41/4522.41 n≈0.999So, the number of moles (n) of helium gas is approximately 0.999.
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