Question #1 The pressure in a constant-volume gas thermometer is 0.700 atm at 10

Question

Question #1

The pressure in a constant-volume gas thermometer is 0.700 atm at 100°C and 0.512 atm at 0°C.

(a) What is the temperature when the pressure is 0.0460 atm?
°C

(b) What is the pressure at 445°C?
atm

Question #2

One mole of oxygen gas is at a pressure of 6.45 atm and a temperature of 25.5°C.

(a) If the gas is heated at constant volume until the pressure triples, what is the final temperature?
  °C

(b) If the gas is heated so that both the pressure and volume are doubled, what is the final temperature?
°C

Question #3

(a) An ideal gas occupies a volume of 2.2 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container.
molecules

(b) If the pressure of the 2.2-cm3 volume is reduced to 1.4 × 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?
mol

Question #4

An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 30.0% of its original volume and the temperature is increased to 37.0°C.

(a) What is the tire pressure in pascals?
   Pa

(b) After the car is driven at high speed, the tire's air temperature rises to 85.0°C and the tire's interior volume increases by3.00%. What is the new tire pressure (absolute) in pascals?
Pa

Explanation / Answer

1.

a)

P/T = constant

0.7/373 = 0.046/T2

T2 = 24.5 K

T2 - 273= -248.5 C

b)

p / (445+273)K = 0.512atm / 273 K

p = 1.346 atm

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