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Please help me on this Show your work. Be careful to give answer in correct numb

ID: 516982 • Letter: P

Question

Please help me on this Show your work. Be careful to give answer in correct number of significant figures and in scientific notation if the answer is very large or very small. The atmospheric pressure on Mars is about 2.00 torn depending on the location. Express this pressure in atm, psi and kPa A pressure gauge measures the difference in the pressures inside and outside a tire. If this tire goes flat, what is the gauge pressure? _________ What is the actual air pressure inside the flat tire? ____________ If you take this same inflated tire that has a gauge pressure of 34.5 psi up the mountain to an altitude where the atmospheric pressure is 11.4 psi, what gauge pressure will you read? Explain. What is the basic reason that gases exert pressure equally in all directions? (Think about what molecules of gas are doing.) According to Dalton, the pressure exerted by a gas inside a container is proportional to the number of molecules of that gas. If 4.00 times 10^23 molecules of N_2 and 2.00 times 10^23 molecules of O_2 are mixed in a container they exert a total pressure of 1686 torr. What portion of that pressure (in torr units) is exerted by the N_2?

Explanation / Answer

(1)

Pressure given = 2.00 torr

Into atm: P = 2.00 torr * 1 atm / 760 torr = 0.00263 atm

Into psi: P = 2.00 torr * 0.01934 psi / 1 too = 0.0387 psi

Into kPa: P = 2.00 torr * 0.1333 kPa / 1 torr = 0.267 kPa

(2)

Pguage = Pinside - Poutside

Pinisde = 34.5 + 14.7 = 49.2 psi

For flat tire inside pressure = 0.00 psi

So, Pguage = - Poutside

At high altitude,

Pguage = Pinside - Poutside = 49.2 - 11.4 = 37.8 psi

(3)

According to kinetic molecular theory of gases it is assumed that the gas molecules move randomly in all directions equally.

(4)

Molecular fraction of N2 = 4.00 * 1023 / (4.00*1023+2.00*1023) = 0.667

Partial pressur eof N2 = Total pressure of the mixture * Molecular fraction

PN2 = 1686 * 0.667 = 1124.6 torr