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What is the mass of a sample aerogel?
That's going to depend on the size of the sample you have. A larger sample will have more mass than a smaller sample, much like virtually every other known substance. Aerogel is a synthetic porous material derived from a gel, in which the liquid component of the gel has been replaced with a gas. The result is a solid with extremely low density and thermal conductivity. It is nicknamed frozen smoke, solid smoke, solid air or blue smoke owing to its translucent nature and the way light scatters in the material; however, it feels like expanded polystyrene (styrofoam) to the touch. Various samples of aerogel may have densities anywhere between 1 mg/cm3 (less dense than air) to 2 mg/cm3 .
How do you think the density of heated air compares to the density of cooler air?
The density of heated air is less than the density of cooler air.
How many pounds of wheat is in a 55 gallon drum?
Unknown: 55 gal drum is a volume. This is the amount of volume this drum can hold. Gallon is a liquid measure, so, compounded with the fact that you don't know the mass or weight of the wheat, you don't have a dry measure. Are there air pockets? Is the wheat 100% dry? What is the mass of a given sample of wheat? After you answer these questions, just substitute for weight, and you will have your answer.
How can you calculat the specific gravity of air?
You could measure the weight of a recipient with air, and compare it to one without air (with a vacuum instead).
The admission fee at the steamboat springs hot air balloon festival is 1.50 for children and 4.00 for adults. On a certain day 1130 people enter the festival and 2520 is collected. How many children?
What you have here is a set of simultaneous linear equations. Let A be the number of adults and C be the number of children. A+C = 1130 ("1130 people enter the festival") and 4A + 1.5C = 2520 (based on the admission rates and the amount of money collected).RearrangingA = 1130 - C,Substitute for A to give4(1130-C) + 1.5C = 2520Multiply to give4520 - 4C + 1.5C = 2520Subtract 2520 from both sides to give-4C + 1.5C = -2000Actually do that addition and multiply by -1 to give2.5C = 2000At this point it's obvious thatC = 800.There are 800 children and 330 adults.
