An 8.50 L tire contains 0.552 mol of gas at a temperature of 305 K. What is the pressure (in atm and in psi) of the gas in the tire? (1 atm is approximately equal to 14.7 psi.) Express the pressures in atmospheres and pounds per square inch to three significant figures separated by a comma.

1. The pressure of the gas in atm is 1.63 atm.

2. The pressure of the gas in psi is 24 psi.

1. Determination of the pressure in atm.

Volume (V) = 8.50 L

Number of mole (n) = 0.552 mole

Temperature (T) = 305 K

Gas constant (R) = 0.0821 atm.L/Kmol

P × 8.5 = 0.552 × 0.0821 × 305

P × 8.5 = 13.822356

Divide both side by 8.5

P = 13.822356 / 8.5

Thus, the pressure of the gas in atm is 1.63 atm

2. Determination of the pressure of the gas in psi

Pressure (in atm) = 1.63 atm

1 atm = 14.7 psi

Therefore,

1.63 atm = 1.63 × 14.7

1.63 atm = 23.961 psi

Thus, the pressure of the gas in psi is 24 psi.

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pressure = 1.625 atm or 23.89 psi

Explanation:

Step 1: Data given

Volume = 8.50 L

Number of moles of gas

Temperature = 305 K

Step 2: Calculate pressure

p*V = n*R*T

⇒with p = the pressure of the gas = TO BE DETERMINED

⇒with V= the volume of the gas = 8.50 L

⇒with n = the number of moles of gas = 0.552 moles

⇒with R = the gas constant = 0.08206 L*atm/mol*K

⇒with T = the temperature = 305 K

p = (n*R*T)/V

p = (0.552*0.08206*305)/8.50

p = 1.625 atm

1.625 * 14.7 = 23.89

1.625 atm = 23.89 psi

a mercury barometer is a device that uses the physical properties of mercury in a tube to measure barometric pressure. mercury barometers are used for : -

1. measurement of atmospheric pressure  

2. determining the altitude of a place

3. weather forecasting

4. calibration and checking of aneroid barometers

5. application in fluid mechanics

6. measurement of pressure in aircrafts

7. surface weather analysis

8. preparation of barographs

9. usage in physical sciences like physics, astronomy & chemistry

10. preparation of aircraft altimeters

characteristics of mercury barometer : -

1.used to define and measure atmospheric pressure.

2.on the average at sea level the column of mercury rises to a height of about 760 mm.

3.this quantity is equal to 1 atmosphere.

4.it is also known as standard atmospheric pressure.

5.a barometer in which the weight of a column of mercury in a glass tube with a sealed top is balanced against that of the atmosphere pressing on an exposed cistern of mercury at the base of the mercury column, the height of the column varying with atmospheric pressure.

2h2o2--> 2h2o + o2

this reaction is of the spontaneous decomposition of hydrogen peroxide down into water and oxygen.

add 2 molecules of hydrogen peroxide and 2 molecules of water. since oxygen is naturally diatomic, the total number of atoms of each element is now the same on both sides of the equation so it is balanced.

this may not be entirely correct but let me know.