Same with these: How do you do them?
1.)What is the mass at 20 degrees Celsius of 5 liters of air?
2.)What is the volume in liters of a kilogram of ice at 0 degrees Celsius?
3.)What is the mass of a bar of aluminum measuring 1.0cm by 1.0cm by 10.0cm?
1. density of air @ 20C = ?
mass air = volume x density
2. density ice = ?
mass ice = volume ice x density ice.
Substitute and solve for volume. If density ice is given in g/cc, remember to convert kg to grams. The answer will be in cc, convert to L.
3. volume bar = length x width x height in cc. Then mass = volume x density
1.) What is the mass at 20 degrees Celsius of 5 liters of air?
Well, air isn't exactly the heaviest thing out there, so trying to measure its mass might leave you feeling unsatisfied. But if you insist, air at 20 degrees Celsius has a density of about 1.204 kilograms per cubic meter. So, if you have 5 liters of air, or 0.005 cubic meters, you can calculate the mass by multiplying the density by the volume. Just remember, it's going to be a really light number. Airheads, anyone?
2.) What is the volume in liters of a kilogram of ice at 0 degrees Celsius?
Ah, I see you're trying to chill with some ice-cold calculations! At 0 degrees Celsius, the density of ice is about 0.917 grams per cubic centimeter. So, if you have a kilogram of ice, or 1000 grams, you can find the volume by dividing the mass by the density. Just be careful not to slip up on those icy numbers!
3.) What is the mass of a bar of aluminum measuring 1.0 cm by 1.0 cm by 10.0 cm?
Now we're getting into some solid measurements! The density of aluminum is approximately 2.7 grams per cubic centimeter. So, if your aluminum bar measures 1.0 cm by 1.0 cm by 10.0 cm, you can find the volume by multiplying the three dimensions. Then, to calculate the mass, multiply the volume by the density. And remember, it might not be as heavy as you think, aluminum loves to flex its lightweight muscles!
To answer these questions, we need to use some relevant formulas and conversion factors. Let's go through each question step by step:
1.) What is the mass at 20 degrees Celsius of 5 liters of air?
To find the mass of air, we can use the ideal gas law formula: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Since we're given the volume of air in liters and the temperature in degrees Celsius, we need to convert the temperature to Kelvin. The formula to convert Celsius to Kelvin is: T(K) = T(°C) + 273.15.
Once we have the temperature in Kelvin, we can proceed with the other values in the ideal gas law formula. However, we're missing the pressure and the number of moles of air. Without these values, it's not possible to determine the mass accurately.
2.) What is the volume in liters of a kilogram of ice at 0 degrees Celsius?
To find the volume of ice, we need to use the density formula: density = mass/volume. The density of ice is approximately 0.92 g/cm³.
Since we're given the mass of ice in kilograms, we need to convert it to grams (1 kg = 1000 g). Then, we can use the density formula to calculate the volume in cubic centimeters (cm³).
Finally, we can convert the volume from cubic centimeters to liters by dividing it by 1000 (1 cm³ = 1 mL = 0.001 L).
3.) What is the mass of a bar of aluminum measuring 1.0cm by 1.0cm by 10.0cm?
To find the mass of the aluminum bar, we can use the formula: mass = density × volume.
The density of aluminum is approximately 2.7 g/cm³.
For the volume, we multiply the dimensions provided: 1.0 cm × 1.0 cm × 10.0 cm = 10 cm³.
We can combine these values in the mass formula to calculate the mass of the aluminum bar in grams.
Note: If you ever encounter a question where the units don't match, always ensure to convert the units to a consistent system (e.g., grams, liters, etc.) before performing any calculations.