Prove for an ideal gas that (a) the P = constant lines on a T-v diagram are straight lines and (b) the high-pressure lines are steeper than the low-pressure lines.

A gaseous mixture of O$_2$ and N$_2$ contains 34.8% nitrogen by mass. What is the partial pressure of oxygen in the mixture if the total pressure is 565 mmHg?

The deflection on the manometer is $h$ meters when the pressure in the tank is $150\ \mathrm{kPa}$ absolute. If the absolute pressure in the tank is doubled, what will the deflection on the manometer be?

At a pressure of 1.13 atm, a gas has a solubility of 0.13 g/L. If the solubility changes to 0.543 g/L, what has the pressure changed to?

What is the capillary pressure for water in a vertical tube of radius $10 \mathrm{~nm}$. Express your answer in pascals and as a ratio relative to atmospheric pressure.

Develop a one-dimensional equation in the pressure gradient direction at the point (4, 2). The pressure function is

$$f(x,y) = 6x^2y – 9y^2 – 8x^2.$$

Atmospheric pressure Under certain conditions, the atmospheric pressure $p$ at altitude $h$ is given by the formula $p=29 e^{-0.000034 h}$. Express $h$ as a function of $p$.

The vapour pressure of water is $12.3 \mathrm{kPa}$ at $300 \mathrm{~K}$. Calculate the vapor pressure of 1 molal solution of a non-volatile solute in it.

Suppose a person can reduce the pressure in the lungs to $- 80$ mm-Hg gauge pressure. How high can water then be sucked up a straw?

Define the term partial pressure.

Consider the scalar field (pressure field) given by $f(x, y)=9 x^2+4 y^2$. Find the region in which the pressure varies between $36$ and $144$ .

What will be the total gas pressure when the partial pressure of $\mathrm{A}(\mathrm{g})$ has fallen to $8.00 \times 10^2 \mathrm{mmHg}$ ?

Determine the pressure exerted on a diver at 20 m below the free surface of the sea. Assume a barometric pressure of 101 kPa and a specific gravity of 1.03 for seawater.

A swimming pool has an evenly distributed pressure at the bottom. Consider a stiff steel plate lying on the ground. Is the pressure below it just as evenly distributed?