A gas has a density of 5.56 g/L.
a. What volume in milliliters would 4.17 g of this gas
occupy?
b. What would be the mass in kilograms of 1 m3
of
this gas?
To answer these two questions, we need to use the equation of density:
Density = Mass / Volume
a. To find the volume in milliliters of 4.17 g of this gas, we need to rearrange the equation:
Volume = Mass / Density
Now let's plug in the given values:
Volume = 4.17 g / 5.56 g/L
To convert the units from liters to milliliters, we need to multiply by 1000:
Volume = (4.17 g / 5.56 g/L) * 1000 mL/L
Simplifying the expression:
Volume = 4.17 * 1000 / 5.56 mL
Volume = 750 mL
Therefore, 4.17 g of this gas would occupy a volume of 750 mL.
b. To find the mass in kilograms of 1 m^3 of this gas, we need to rearrange the equation:
Mass = Density * Volume
Now let's plug in the given values:
Mass = 5.56 g/L * 1 m^3
To convert the units from grams to kilograms, we need to divide by 1000:
Mass = (5.56 g/L * 1 m^3) / 1000 kg/g
Simplifying the expression:
Mass = 5.56 * 1 / 1000 kg
Mass = 0.00556 kg
Therefore, 1 m^3 of this gas would have a mass of 0.00556 kg.
To solve the given problems, we need to use the density formula:
Density = Mass / Volume
Let's solve these problems step by step:
a. What volume in milliliters would 4.17 g of this gas occupy?
To find the volume, we can rearrange the density formula:
Volume = Mass / Density
To convert the volume to milliliters, we need to remember that 1 L is equal to 1000 mL.
Volume (in mL) = Volume (in L) * 1000
Now, let's plug in the values into the formulas:
Density = 5.56 g/L
Mass = 4.17 g
Volume = Mass / Density
Volume = 4.17 g / 5.56 g/L
Volume = 0.75 L
Volume (in mL) = 0.75 L * 1000
Volume (in mL) = 750 mL
Therefore, 4.17 g of this gas would occupy 750 mL.
b. What would be the mass in kilograms of 1 m3 of this gas?
Again, we can use the density formula:
Mass = Density * Volume
Since the volume is given in m^3, we don't need to convert it to a different unit.
Let's plug in the values into the formula:
Density = 5.56 g/L
Volume = 1 m^3
Mass = Density * Volume
Mass = 5.56 g/L * 1 m^3
Now, we need to convert grams (g) to kilograms (kg) since the question asks for the mass in kilograms.
1 kg = 1000 g
Mass (in kg) = (5.56 g/L * 1 m^3) / 1000
Mass (in kg) = 0.00556 kg
Therefore, 1 m^3 of this gas would have a mass of 0.00556 kg.
Use mass = volume x density for a and b.
For a you have grams and density; substitute and solve for volume.
For b you have volume (in cubic meters--change this to liters first) and density; substitute and solve for mass