2. If you have 10 ft3 of an ideal gas stored at 75 F and at 12 psia that is expanded to 15 ft3 , what is the resulting pressure? 3. The atmospheric pressure is 14.3 psi. How many inches of mercury (s=13.6) does the National Weather Service report this pressure as? Pressure =

2. The decrease in pressure will be 8psia

3. The NWS will report the pressure to be 0.0657inchHg

Explanation:

2. This is an isothermal system because it was only the volume of the gas that was increased, and temperature was constant. To find the pressure, use the Boyle's law equation below.

P1V1 ÷ P2V2(1)

make P2 the subject of the formula

P2 = P1V1 ÷ V2 (2)

P1 = 12psia

V1 = 10ft3

V2 = 15ft3

Using equation 2

P2 = (12 × 10) ÷ 15 = 8psia

Therefore, the resulting pressure of the gas will decrease to 8psia, which obeys Boyle's law that states that pressure is inversely proportion to volume in a given mass of gas. That means, as volume increases pressure should decrease.

3. The National weather Service report, are the national agency that forecast the weather, to report how the climate will change. To report the pressure of a weather, their use a pressure barometer, and reports the reading in the pressure barometer, which is the hight the Mercury in the barometer increased to.

Using a pressure barometer.

Patm = pgh(3)

Make h the subject of formula

h = Patm ÷ pg (4)

Patm is the Atmospheric pressure = 4.3psi

p is the density of Mercury = 13.6

g is the force of gravity = 9.8

h is the hight of the Mercury in the barometer, which is the pressure that is measured.

Using equation 4

h = 4.3 ÷ (13.6 × 9.8) = 0.0322629psi

To convert Pound- force per square inch to inch of mecury (that's is psi to inchHg)

1psi = 2.03602inchHg

Therefore

0.0322629psi = 0.065689399inchHg

The NWS will report the pressure to be 0.0657inchHg

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