Calculate the indicated quantity for each gas sample.

The volume occupied by 1.15 g of helium gas at 25 °C and 1.01 atm pressure.

The partial pressure of each gas if 2.27 g of H₂ and 1.03 g of He are confined to a 5.00-L container at 0 °C.

The pressure existing in a 9.97-L lank containing 42.5 g of argon gas at 27 °C.

(a)

Interpretation:

The volume occupied by 1.15 g of helium gas at 25 °C and 1.01 atm is to be calculated.

Concept Introduction:

The ideal gas equation is used to represent the relation between the volume, pressure, temperature and number of moles of an ideal gas. The ideal gas equation is given as,

PV=nRT

Where,

• V represents the volume occupied by the ideal gas.
• P represents the pressure of the ideal gas.
• n represents the number of moles of the ideal gas.
• T represents the temperature of the ideal gas.
• R represents the ideal gas constant with value 0.08206 L⋅atm⋅K−1⋅mol−1.

The molar mass of He gas is 4.00 g⋅mol−1.

The mass of He gas is 1.15 g.

The temperature of He gas is 25 °C.

The temperature of He gas in Kelvin is given as,

T=25 °C+273.15 K=298.15 K

The pressure of He gas is 1.01 atm.

The number of moles of substance is given as,

n=mMm

Where,

• m represents the mass of the substance.
• Mm represents the molar mass of the substance.

Substitute the value of the mass and molar mass of He gas in the above equation.

n=1.15 g4.00 g⋅mol−1=0.2875 mol

The number of moles of He gas is 0.2875 mol.

The ideal gas equation is given as,

PV=nRT

Where,

• V represents the volume occupied by the ideal gas

(b)

Interpretation:

The partial pressure of 2.27 g of H2 and 1.03 g of He at given temperature and volume is to be calculated.

Concept Introduction:

The ideal gas equation is used to represent the relation between the volume, pressure, temperature and number of moles of an ideal gas. The ideal gas equation is given as,

PV=nRT

Where,

• V represents the volume occupied by the ideal gas.
• P represents the pressure of the ideal gas.
• n represents the number of moles of the ideal gas.
• T represents the temperature of the ideal gas.
• R represents the ideal gas constant with value 0.08206 L⋅atm⋅K−1⋅mol−1.

(c)

Interpretation:

The pressure existing in a 9.97 L tank containing 42.5 g of argon gas at 27 °C is to be calculated.

Concept Introduction:

The ideal gas equation is used to represent the relation between the volume, pressure, temperature and number of moles of an ideal gas. The ideal gas equation is given as,

PV=nRT

Where,

• V represents the volume occupied by the ideal gas.
• P represents the pressure of the ideal gas.
• n represents the number of moles of the ideal gas.
• T represents the temperature of the ideal gas.
• R represents the ideal gas constant with value 0.08206 L⋅atm⋅K−1⋅mol−1.