Question

Since helium is lighter than air, it is difficult to measure the mass of a sample, so to find out the mass of helium in a birthday balloon, a student transferred the helium to a fixed 1. 50 l vessel at 25. 0 °c and found the pressure to be 3. 04 atm. What mass of helium is in the balloon in grams?.

Answer 1

A 1.50-L vessel is filled with helium at 25.0 °C and 3.04 atm. Under these conditions, the mass of helium is 0.744 g.

What is an ideal gas?

An ideal gas is that whose particles have negligible volume and intermolecular forces.

A 1.50 L vessel at 25.0 °C contains He at a pressure of 3.04 atm.

• Step 1. Convert 25.0 °C to Kelvin.

We will use the following expression.

K = °C + 273.15 = 25.0 + 273.15 = 298.2 K

• Step 2. Calculate the moles of He.

We will use the ideal gas equation.

P × V = n × R × T

n = P × V / R × T

n = 3.04 atm × 1.50 L / (0.0821 atm.L/mol.K) × 298.2 K = 0.186 mol

• Step 3. Calculate the mass of He.

The molar mass of He is 4.00 g/mol.

0.186 mol × 4.00 g/mol = 0.744 g

A 1.50-L vessel is filled with helium at 25.0 °C and 3.04 atm. Under these conditions, the mass of helium is 0.744 g.

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