Concept explainers
In 1999, scientists discovered a new class of black hole with masses 100 to 10,000 times the mass of our sun but occupying less space than our moon. Suppose that one of these black holes has a mass of
suns and a radius equal to one-half the radius of our moon. What is its density in grams per cubic centimeter? The mass of the sun is
kg, and the radius of the moon is
mi. (Volume of a sphere
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Introductory Chemistry (5th Edition) (Standalone Book)
- Gold leaf, which is used for many decorative purposes, is made by hammering pure gold into very thin sheets. Assuming that a sheet of gold leaf is 1.27 105 cm thick, how many square feet of gold leaf could be obtained from 28.35 g gold? The density of gold is 19.3 g/cm3.arrow_forwardExpress the measurements to the requested number of significant figures. (a) 96,485 J/C to three significant figures (b) 2.9979 g/cm3 to three significant figures (c) 0.0597 mL to one significant figure (d) 6.626 1034 kg to two significant figuresarrow_forwardAn instrument used to detect metals in drinking water can detect as little as 1 μg of mercury in 1 L of water. Mercury is a toxic metal; it accumulates in the body and is responsible for the deterioration of brain cells. Calculate the number of mercury atoms you would consume if you drank 1 L of water that contained 1 μg of mercury. (The mass of one mercury atom is 3.3 × 10−22 g.)arrow_forward
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- the unit of land measure in the english system is the acre, while that in the metric system is the hectare. An acre is 4.356 x 10^4 ft^4. A hectare is ten thousand square meters. The town of willington in connecticut requires a minimum area of 2.0 acres of land for a single-family dwelling. How many hectares are required?arrow_forwardAbout two centuries ago, Benjamin Franklin showed that 1teaspoon of oil would cover about 0.5 acre of still water. If you know that 1.0 x 104 m2= 2.47 acres and that there is approximately 5 cm3 in a teaspoon, what is the thickness of the 0.5-acre layer of oil? How might this thickness be related to the sizes of molecules?arrow_forwardThe concentration of carbon monoxide (CO), a common air pollutant, is found in a room to be 5.7 x 10-3 mg/cm3. How many grams of CO are present in the room if the room's dimensions measure 3.5m x 3.0m x 3.2m?arrow_forward
- Lithium is a soft, gray solid that has the lowest density of any metal. It is an essential component of some advanced batteries, such as the one in your laptop. If a small rectangular slab of lithium weighs 1.49x10^3 mg and has sides that measure 20.9 mm by 11.1 mm by 11.9 mm, what is the density of lithium in g/cm^3?arrow_forwardWhat is the mass of a piece of silver metal that has a volume of 17.4 cm^3? (The density of silver metal is 10.5 g/cm^3.)arrow_forwardGiven the density of Au is 19.3 g/cm3, determine the mass of gold (in grams) in an ingot with the dimensions of 10.0 in × 4.00 in × 3.00 in.arrow_forward
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