Question

In: Chemistry

A 6.79-L cylinder contains 2.00 mol of gas A and 3.96 mol of gas B, at...

A 6.79-L cylinder contains 2.00 mol of gas A and 3.96 mol of gas B, at a temperature of 31.5 °C. Calculate the partial pressure of each gas in the cylinder. Assume ideal gas behavior.

Expert Solution

volume = V = 6.79 L

total moles = A + B = 2 + 3.96 = 5.96 mol

mole fraction of A = 2 / 5.96 = 0.336

mole fraction of B = 3.96 / 5.96 = 0.664

T = 31.5 + 273 = 304.5 K

PV = n RT

P x 6.79 = 5.96 x 0.0821 x 304.5

P = 21.94 atm

total pressure = 21.94 atm

partial pressure of A = A mole fraction x total pressure

= 0.336 x 21.94

= 7.37 atm

partial pressure of A= 7.37 atm

partial pressure of B = B mole fraction x total pressure

= 0.664 x 21.94

= 14.57 atm

partial pressure of A= 14.57 atm

queen_honey_blossom answered 1 month ago

A gas cylinder contains 2.30 mol He, 1.35 mol Ne, and 1.75 mol Ar. If the...

A gas cylinder contains 2.30 mol He, 1.35 mol Ne, and 1.75 mol Ar. If the total pressure in the cylinder is 2290 mmHg, what is the partial pressure of each of the components? Assume constant temperature. P(He) = ? P(Ne) = ? P (Ar) = ?

A cylinder with a piston contains 0.300 mol of oxygen at 2.00×105 Pa and 340 K...

A cylinder with a piston contains 0.300 mol of oxygen at 2.00×105 Pa and 340 K . The oxygen may be treated as an ideal gas. The gas first expands isobarically to twice its original volume. It is then compressed isothermally back to its original volume, and finally it is cooled isochorically to its original pressure. Find the work done by the gas during the initial expansion. Winitial = Find the heat added to the gas during the initial expansion....

A cylinder with a moveable piston contains 0.553 mol of gas and has a volume of...

A cylinder with a moveable piston contains 0.553 mol of gas and has a volume of 256 mL . What will its volume be if an additional 0.246 mol of gas is added to the cylinder? (Assume constant temperature and pressure.)

A cylinder contains 0.250 mol of carbon dioxide (CO2)gas at a temperature of 27.0?C. The cylinder...

A cylinder contains 0.250 mol of carbon dioxide (CO2)gas at a temperature of 27.0?C. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 1.00 atm on the gas. The gas is heated until its temperature increases to 127.0?C. Assume that the CO2 may be treated as an ideal gas. a.) How much work W is done by the gas in this process? b.) What is the change in internal energy ?U of the gas? c.)...

A cylinder contains 4 mol of an ideal gas at 30oC. If it expands from an initial...

A cylinder contains 4 mol of an ideal gas at 30oC. If it expands from an initial volume of 1.0 m3 to 2.0 m3 while maintained at a constant pressure of 200 kPa. What is the change in the temperature of the gas? How much heat is absorbed or released from the system, over the process? The pressure is then reduced while the gas is held at a constant volume. If over this process the gas is returned to its original...

Consider a gas phase reaction, 2A+B −↽−⇀− 3C+2D. When 1.00 mol A and 2.00 mol B,...

Consider a gas phase reaction, 2A+B −↽−⇀− 3C+2D. When 1.00 mol A and 2.00 mol B, and 1.00 mol D were mixed and allowed to come to equilibrium at 25◦ C and ptotal = 1.0 bar, the resulting mixture contained 0.90 mol C. Calculate (a)partial pressures of each at equilibrium, (b) Keq, and (c) ∆rG.

An unknown gas contains 85.63% carbon and 14.37% hydrogen by mass. if 2.00 L of the...

An unknown gas contains 85.63% carbon and 14.37% hydrogen by mass. if 2.00 L of the gas at 298 K and 0.420 atm and weights 1.926 g A) What is the molar mass of the unknown gas? B) What is the empirical formula of the gas? C) What is the molecular formula of the gas?

A flexible container at an initial volume of 6.13 L contains 9.51 mol of gas. More...

A flexible container at an initial volume of 6.13 L contains 9.51 mol of gas. More gas is then added to the container until it reaches a final volume of 16.3 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

a cylinder of volume 0.240 m^3 contains 10.3 mol of neon gas at 19.0 C. assume...

a cylinder of volume 0.240 m^3 contains 10.3 mol of neon gas at 19.0 C. assume neon behaves as an idea gas. a) what is the pressure of the gas b) find the internal energy of the gas c) suppose the gas expands at a constant pressure to a colume of 1.000m^3. how much work is done on the gas? d) what is the temperature of the gas at the new volume e) find the internal energy of the gas...

A piston-cylinder apparatus contains initially 1.2 mol of ideal gas at 6 bar and 25°C. Then...

A piston-cylinder apparatus contains initially 1.2 mol of ideal gas at 6 bar and 25°C. Then the piston is moved downward to increase the pressure to 12 bar pressure. You can ignore the change in potential energy associated with the piston moving. a. Write the First Law of Thermodynamics and simplify for this problem given that temperature of the system changes. b. Assuming Isothermal operation what are the initial and final volumes of gas for the above process (L)? c....