In a hurricane, the wind pressure varies directly as the square of the wind velocity. If wind pressure is a measure of a hurricane's destructive capacity, what happens to this destructive power when the wind speed doubles?

A sample of gas occupies $2.94 \mathrm{~L}$ at a pressure of $794 \mathrm{mmHg}$. Determine the new pressure of the sample when the volume expands to $3.88 \mathrm{~L}$ at constant temperature.

This law states that if the temperature of a gas remains constant, its pressure is inversely proportional to its volume. Use the derivative to show that the rate of change of the pressure is inversely proportional to the square of the volume

Repeat the questions in earlier problem when we assume that friction causes pressure drops in the burner and on both sides of the regenerator. In each case, the pressure drop is estimated to be $2 \%$ of the inlet pressure to that component of the system, so $P_3=588\ \mathrm{kPa}, P_4=0.98\ P_3$, and $P_6=102\ \mathrm{kPa}$.

A large truck tire is inflated to a gauge pressure of 80 psi. The total area of one sidewall of the tire is 1,200 in. $^2$. What is the outward force on the sidewall because of the air pressure?

A volume of $7.2 \mathrm{m}^{3}$ of glycerol $(\eta=0.934 \mathrm{Pa} \cdot \mathrm{s})$ is pumped through a 15-m length of pipe in 55 minutes. The pressure at the input end of the pipe is $8.6 \times 10^{5} \mathrm{Pa}$, and the pressure at the output end is atmospheric pressure. What is the pipe's radius?

A gas undergoes the cyclic process ABCA shown in Figure GP1 4.86, where AB lies on an isotherm. The pressure at point $\mathrm{A}$ is $60 \mathrm{kPa}$. Find (a) the pressure at $\mathrm{B}$

Solve for the new pressure, in torr, for each of the following, if n and V are constant:

a. A gas with an initial pressure of 1200 torr at $155^{\circ} \mathrm{C}$ is cooled to $0^{\circ} \mathrm{C}$.

b. A gas in an aerosol can with an initial pressure of 1.40 atm at $12{ }^{\circ} \mathrm{C}$ is heated to $35^{\circ} \mathrm{C}$.

What is the minimum partial pressure of $\mathrm{H}_2$ required for the preceding reaction to be spontaneous in the forward direction at $25^{\circ} \mathrm{C}$ if the partial pressure of $\mathrm{HI}$ is $0.94$ ?

A $3.50\ mole$ sample of an ideal gas with $C_{V, m}=3 R / 2$ is expanded adiabatically against a constant external pressure of $1.45\ bar$. The initial temperature and pressure are $T_i=310 . \mathrm{K}$ and $P_i=15.2\ bar$. The final pressure is $P_f=1.45\ bar$. Calculate $q, w, \Delta U$, and $\Delta H$ for the process.

Air flows at Mach number of $1.5$, static pressure $95 \mathrm{kPa}$, and is expanded by angles $\theta_1=15^{\circ}$ and $\theta_2=15^{\circ}$, as shown. Find the pressure changes.

The volume $V$ of a gas varies inversely with the pressure $P$. When the volume is 75 in. $^3$, the pressure is $30 \mathrm{lb} / \mathrm{in}^2$. What is the volume when the pressure is $25 \mathrm{lb} /$ in. $^2$ ? F. 90 in. $^3$ G. $58 \frac{1}{3}$ in. ${ }^3$ H. 60 in. ${ }^3$ J. 30 in. $^3$

Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and the volume V satisfy the equation P V=C, where C is a constant. Suppose that at a certain instant, the volume is $600cm^3$, the pressure is $150 {kPa}$, and the pressure is increasing at a rate of $20 kPa / {min}$. At what rate is the volume decreasing at this instant?

Considering the following figure:

Determine:

1. What is the gauge pressure at point $A$ in Pa?
2. What is the gauge pressure at point $C$ in Pa?
3. What is the pressure difference between points $B$ and $A$ in Pa?