Answer all with the correct amount of significant figures. - What is the volume

Question

Answer all with the correct amount of significant figures.

- What is the volume of 220. mL of oxygen gas at 61.0°C and 830. mm Hg if the conditions are adjusted to STP? Assume the amount of gas is held constant.

- What is the final volume of 465 mL of oxygen gas at 65.5°C if the gas is heated to 163°C? Assume the pressure and the amount of gas are held constant.

- To what Celsius temperature must 29.5 mL of methane gas at 73.0°C be changed so the volume will be 70.0 mL? Assume the pressure and the amount of gas are held constant.

- What is the final volume of 910. mL of neon gas at 190.°C if the gas is cooled to 79.5°C? Assume the pressure and the amount of gas are held constant.

Explanation / Answer

1.

from ideal gasequation

P1V1/T1 = P2V2/T2

   P1 = Initial pressure = 830 mmhg = 830/760 = 1.092 atm

    V1 = initial volume of gas = 0.22 L

    T1 = tempreature of gas = 61.0 C = 334.15 k

P2 = final pressure = 1 atm

    V2 = initial volume of gas = ?

    T2 = tempreature of gas = 273.15 k

(1.092*0.22/334.15) = (1*V2/273.15)

   V2 = 0.196 L

2)   V1/T1 = V2/T2

   (29.5/(73+273.15)) = (70/X)

X = Temperature in Kelvin = 821.4 k

3) V1/T1 = V2/T2

   (910/(190+273.15)) = (x/(79.5+273.15))

V2 = final volume of neon = 692.9 ml

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