How would the density of air at the bottom of a deep mine shaft compare to the density of the atmosphere at the surface of the ground?

Will an object with a higher density displace more water than an object with a lower density? Explain why or why not.

When the energy stored in ATP is released, it is broken down into

a) adenosine + energy.

b) AMP + P + energy.

c) P + P + P + energy.

d) ADP + P + energy.

Why is the following situation impossible? A hypothetical metal has the following properties: its Fermi energy is 5.48 eV, its density is $4.90 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3},$ its molar mass is 100 g/mol, and it has one free electron per atom.

What units do chemists normally use for density of liquids and solids? For gas density? Explain the differences.

The population density of New Mexico increased at a relatively constant rate from 1980 to 1999. In 1985, the population density was about 11.62 people per square mile. In 1999, the population density was about 14.28 people per square mile. Write an equation that gives the population density (in people per square mile) as a function of the number of years since 1980. What was the population density in 1990?

A structural component is fabricated from an alloy that has a plane-strain fracture toughness of 62 MPa $\sqrt{\mathrm{m}}$. It has been determined that this component fails at a stress of 250 MPa when the maximum length of a surface crack is 1.6 mm. What is the maximum allowable surface crack length (in mm) without fracture for this same component exposed to a stress of 250 MPa and made from another alloy with a plane-strain fracture toughness of 51 MPa $\sqrt{\mathrm{m}}$?

Refrigerant 134a enters a heat exchanger at $-12^{\circ}C$ and a quality of 42% and exits as saturated vapor at the same temperature with a volumetric flow rate of $0.85 \: m^3/min.$ A separate stream of air enters at $-2^{\circ}C$ with a mass flow rate of 188 kg/min and exits at $17^{\circ}C$. Assuming the ideal gas model for air and ignoring kinetic and potential energy effects, determine (a) the mass flow rate of the Refrigerant 134a, in kg/min, and (b) the heat transfer between the heat exchanger and its surroundings, in kJ/min.

He-Ne lasers are often used in physies demonstrations. They produce light of wavelength $633 \mathrm{~nm}$ and a power of $0.500 \mathrm{~mW}$ spread over a cylindrical beam $1.00 \mathrm{~mm}$ in diameter (although these quantities can vary).(c) What is the average energy density in the laser beam?

How is an integral involving a normal density function converted to an integral involving a standard normal density function?

A $4,75-\text{in.}$ outside diameter polyethylene pipe designed to carry chemical waste is placed in a trench and bent around a quarter-circular $90^{\circ}$ bend (see figure). The bent section of the pipe is 52 ft long. (a) Determine the maximum compressive strain $\varepsilon_{\max }$ in the pipe. (b) If the normal strain cannot exceed $6.1 \times 10^{-3}$, what is the maximum diameter of the pipe? (c) If $d=4.75 \mathrm{in}$, what is the minimum acceptable length of the bent section of the pipe?

It has been suggested that fusion reactors are safe from explosion because the plasma never contains enough energy to do much damage. (a) In 1992, the TFTR reactor, with a plasma volume of approximately $50.0\ \mathrm{m}^{3},$ achieved an ion temperature of $4.00 \times 10^{8}\ \mathrm{K},$ an ion density of $2.00 \times 10^{13}\ \mathrm{cm}^{-3},$ and a confinement time of 1.40 s. Calculate the amount of energy stored in the plasma of the TFTR reactor. (b) How many kilograms of water at $27.0^{\circ} \mathrm{C}$ could be boiled away by this much energy?

If a stone dropped into an abandoned mine shaft hits the bottom in t seconds, the depth of the shaft is $D(t)=16 t^{2}$ feet. For a time of 2.5 seconds with an error of $\pm 0.1$ second, find the error and the relative error in the claim that the mine shaft is 100 feet deep.

Would the weight density of water be different on the Moon than it is on Earth? What about the mass density? Explain.