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Chapter 1: Problem 57
At what temperature is the temperature in degrees Fahrenheit equal to twice the temperature in degrees Celsius?
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Suppose a teaspoon of magnesium filings and a teaspoon of powdered sulfur are placed together in a metal beaker. Would this constitute a mixture or a pure substance? Suppose the magnesium filings and sulfur are heated so they react with each other, forming magnesium sulfide. Would this still be a "mixture"? Why or why not?
The density of pure silver is \(10.5 \mathrm{~g} / \mathrm{cm}^{3}\) at \(20^{\circ} \mathrm{C}\). If \(5.25 \mathrm{~g}\) of pure silver pellets is added to a graduated cylinder containing \(11.2 \mathrm{~mL}\) of water, to what volume level will the water in the cylinder rise?
Which of the following are exact numbers? a. There are \(100 \mathrm{~cm}\) in \(1 \mathrm{~m}\). b. One meter equals \(1.094\) yards. c. We can use the equation \({ }^{\circ} \mathrm{F}=\frac{9 \circ}{2} \mathrm{C}+32\) to convert from Celsius to Fahrenheit temperature. Are the numbers \(\frac{9}{3}\) and 32 exact or inexact? d. \(\pi=3.1415927\).
In recent years, there has been a large push for an increase in the use of renewable resources to produce the energy we need to power our vehicles. One of the newer fuels that has become more widely available is a mixture of \(85 \%\) ethanol and \(15 \%\) gasoline, E85. Despite being more environmentally friendly, one of the potential drawbacks of E85 fuel is that it produces less energy than conventional gasoline. Assume a car gets \(28.0 \mathrm{mi} / \mathrm{gal}\) using gasoline at \(\$ 3.50 / \mathrm{gal}\) and \(22.5 \mathrm{mi} / \mathrm{gal}\) using \(\mathrm{E} 85\) at \(\$ 2.85 / \mathrm{gal}\). How much will it cost to drive 500 . miles using each fuel?
A star is estimated to have a mass of \(2 \times 10^{36} \mathrm{~kg}\). Assuming it to be a sphere of average radius \(7.0 \times 10^{5} \mathrm{~km}\), calculate the average density of the star in units of grams per cubic centimeter.
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