Problem 61
Convert the following Fahrenheit temperatures to the Celsius and Kelvin scales. a. \(-459^{\circ} \mathrm{F}\) , an extremely low temperature b. \(-40 .^{\circ} \mathrm{F}\) , the answer to a trivia question c. \(68^{\circ} \mathrm{F}\) , room temperature d. \(7 \times 10^{7}\) F, temperature required to initiate fusion reactions in the sun
Problem 62
A thermometer gives a reading of \(96.1^{\circ} \mathrm{F} \pm 0.2^{\circ} \mathrm{F}\) . What is the temperature in \(^{\circ} \mathrm{C} ?\) What is the uncertainty?
Problem 63
Convert the following Celsius temperatures to Kelvin and to Fahrenheit degrees. a. the temperature of someone with a fever, \(39.2^{\circ} \mathrm{C}\) b. a cold wintery day, \(-25^{\circ} \mathrm{C}\) c. the lowest possible temperature, \(-273^{\circ} \mathrm{C}\) d. the melting-point temperature of sodium chloride, \(801^{\circ} \mathrm{C}\)
Problem 64
Convert the following Kelvin temperatures to Celsius and Fahrenheit degrees. a. the temperature that registers the same value on both the Fahrenheit and Celsius scales, 233 K b. the boiling point of helium, 4 K c. the temperature at which many chemical quantities are determined, 298 K d. the melting point of tungsten, 3680 K
Problem 65
At what temperature is the temperature in degrees Fahrenheit equal to twice the temperature in degrees Celsius?
Problem 66
The average daytime temperatures on the earth and Jupiter are \(72^{\circ} \mathrm{F}\) and 313 \(\mathrm{K}\) , respectively. Calculate the difference in temperature, in \(^{\circ} \mathrm{C}\) , between these two planets.
Problem 68
Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100. You devise a new temperature scale based on the approximate melting and boiling points of a typical antifreeze solution \(\left(-45^{\circ} \mathrm{C} \text { and }\right.\) \(115^{\circ} \mathrm{C} ) .\) You wish these points to correspond to \(0^{\circ} \mathrm{A}\) and \(100^{\circ} \mathrm{A},\) respectively. a. Derive an expression for converting between \(^{\circ} \mathrm{A}\) and \(^{\circ} \mathrm{C}\) . b. Derive an expression for converting between \(^{\circ} \mathrm{F}\) and \(^{\circ} \mathrm{A}\) . c. At what temperature would your thermometer and a Celsius thermometer give the same numerical reading? d. Your thermometer reads \(86^{\circ}\) A. What is the temperature in \(^{\circ} \mathrm{C}\) and in \(\mathrm{FF}\) ? e. What is a temperature of \(45^{\circ} \mathrm{C}\) in 'A?
Problem 70
One metal object is a cube with edges of 3.00 \(\mathrm{cm}\) and a mass of 140.4 \(\mathrm{g} .\) A second metal object is a sphere with a radius of 1.42 \(\mathrm{cm}\) and a mass of 61.6 \(\mathrm{g} .\) Are these objects made of the same or different metals? Assume the calculated densities are accurate to \(\pm 1.00 \%\) .
Problem 71
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.
Problem 72
A rectangular block has dimensions 2.9 \(\mathrm{cm} \times 3.5 \mathrm{cm} \times\) 10.0 \(\mathrm{cm} .\) The mass of the block is 615.0 \(\mathrm{g} .\) What are the volume and density of the block?
