What is the density, in g/L, of 1 kg of helium that occupies a volume of 5.587 m^3?

• A. 5.59 g/L
• B. 1.79 g/L
• C. 0.56 g/L
• D. 0.18 g/L

Answer: (D)

Verified step by step guidance

1. Identify the given quantities: mass of helium = 1 kg, volume = 5.587 m^3. Convert the mass to grams since density is typically expressed in g/L. Recall that 1 kg = 1000 g.
2. Convert the volume from cubic meters to liters because density is asked in g/L. Use the conversion factor: 1 m^3 = 1000 L.
3. Use the formula for density: \(\text{density} = \frac{\text{mass}}{\text{volume}}\).
4. Substitute the converted mass (in grams) and volume (in liters) into the density formula to set up the calculation.
5. Calculate the density value by dividing the mass by the volume to find the density in g/L.