The best laboratory vacuum has a pressure of about 1.00 x 10-18 atm, or 1.01 x...

The best laboratory vacuum has a pressure of about 1.00 x 10-18 atm, or 1.01 x 10-13 Pa. How many gas molecules are in 8.57 cm3 in such a vacuum at 298 K?

Expert Solution

Pressure P = 1.01 x10 ^-13 Pa

Volume V = 8.57 x10 ^-6 m ³

Temprature T = 298 K

From the relation PV = nRT

From this number of moles n = PV /RT

Where R = Gas constant = 8.314 J / mol K

Substitute values you get n =(1.01 x10 ^-13 Pa)(8.57 x10 ^-6 m ³) / (8.314 x 298)

= 3.493 x10 ^-22 mol

We know 1 mole = 6.023 x10 ²³ molecules

So, number of gas molecules in given vacuum = n x 6.023 x10 ²³

= 210

genius_generous answered 2 months ago

When water boils at 100oC and 1.00 atm of pressure, is the change in entropy of...

When water boils at 100oC and 1.00 atm of pressure, is the change in entropy of the surroundings/environment negative, zero, or positive?

Knowing that at 0 oC and an oxygen pressure of 1.00 atm, the aqueous solubility of...

Knowing that at 0 oC and an oxygen pressure of 1.00 atm, the aqueous solubility of O2 (g) is 48.9 mL O2 per liter. The approximate values for the molarity of O2 (g) in solution and the partial pressure of O2 above a 8.23 x 10-4 M O2 (g) saturated aqueous solution at 0 oC are respectively: A. 2.18 M and 3.78 x 10-4 atm B. 2.18 x 10-3 M and 0.378 atm C. 0.0446 M and 0.0179 atm D....

Starting with 2.50 mol of nitrogen gas (N2) in a container at 1.00 atm pressure and...

Starting with 2.50 mol of nitrogen gas (N2) in a container at 1.00 atm pressure and 20.0 °C temperature, a student heats the gas at constant volume with 15.2 kJ of heat, then continues heating while allowing the gas to expand at constant pressure, until it is at twice its original volume. What is the final temperature of the gas? How much work was done by the gas? How much heat was added to the gas while it was expanding?...

The mean free path of neon is 6.4 x 10^-2 m at a pressure of 1.00...

The mean free path of neon is 6.4 x 10^-2 m at a pressure of 1.00 x 10^-4 atm and 298 K. A neon atom has a mass of 3.351 x 10^-26 kg. Calculate the collision cross section and the collision frequency of neon under these conditions.

The Henry's Law constant for CO2 is 3.4 x 10-2 M/atm at 25°C. What pressure of...

The Henry's Law constant for CO2 is 3.4 x 10-2 M/atm at 25°C. What pressure of carbon dioxide is needed to maintain a CO2 concentration of 0.10 M in a can of soda?

A 5.00-L flask contains nitrogen gas at 25°C and 1.00 atm pressure. What is the final...

A 5.00-L flask contains nitrogen gas at 25°C and 1.00 atm pressure. What is the final pressure in the flask if an additional 2.00 g of N2 gas is added to the flask and the flask cooled to -55°C? a.) 0.987 atm b.) 1.35 atm c.) 1.84 atm d.) 0.255 atm

At 1.00 atm pressure and 273 K one mole of gas should occupy 22.4 L. What...

At 1.00 atm pressure and 273 K one mole of gas should occupy 22.4 L. What volume would one mole of gas occupy at 21 oC and 1.00 atm? In the Molar Mass of Magnesium experiment: a) At the end of the reaction, the temperature was 21.5 oC (294.65 K), 99.2 mL of gas were formed, and the pressure was 1.00 atm in the gas syringe. The Gas Constant has a value of 0.08206 L atm/ (mol K) (Pay attention...

A 10 cm -diameter cylinder contains argon gas at 10 atm pressure and a temperature of...

A 10 cm -diameter cylinder contains argon gas at 10 atm pressure and a temperature of 60 ∘C . A piston can slide in and out of the cylinder. The cylinder's initial length is 19 cm . 2600 J of heat are transferred to the gas, causing the gas to expand at constant pressure. 1-What is the final temperature of the cylinder? 2-What is the final length of the cylinder?

A fire extinguisher has a pressure of 12 atm at 25∘C.What is the final pressure, in...

A fire extinguisher has a pressure of 12 atm at 25∘C.What is the final pressure, in atmospheres, when the fire extinguisher is used at a temperature of 63 ∘C, if Vand n are constant? P=

Pure hydrogen is contained in a long cylindrical container at a pressure of 10 ATM and...

Pure hydrogen is contained in a long cylindrical container at a pressure of 10 ATM and a temperature of 325 K. The inner diameter of the container is 50 mm and the wall thickness is 4 mm. Air flowing outside of the container does not contain any hydrogen. The mass diffusivity and the solubility of hydrogen in the container material are 1.8x10-11 m2/s and 16 kmol/(m3 ATM), respectively. (a) What is the rate of hydrogen transfer through the walls of...

Question