The volume of an ideal gas is held constant. Determine the ratio P2/P1 of the final...

The volume of an ideal gas is held constant. Determine the ratio P2/P1 of the final pressure to the initial pressure when the temperature of the gas rises (a) from 51 to 102 K and (b) from 23.7 to 64.4 oC. (a) P2/P1 = Number Units (b) P2/P1 = Number Units

Expert Solution

The ideal gas equation is

Where P is pressure, V is volume, T is temperature, n is number of moles of the gas, and R is universal gas constant.

If the volume is held constant, then we can write the equation as

or,

(a) in this case, T₂ = 105 K and T₁ =51 K. So,

(b) in this case, T₂ = 64.4+273.15 =337.55 K and T₁ = 23.7+273.15= 296.85 K. So,

genius_generous answered 7 months ago

An ideal gas in a sealed container has an initial volume of 2.55 L. At constant...

An ideal gas in a sealed container has an initial volume of 2.55 L. At constant pressure, it is cooled to 20.00 °C where its final volume is 1.75 L. What was the initial temperature? A sample of xenon gas occupies a volume of 9.47 L at 403 K. If the pressure remains constant, at what temperature will this same xenon gas sample have a volume of 6.29 L?

An ideal monatomic gas is contained in a vessel of constant volume 0.210 m3. The initial...

An ideal monatomic gas is contained in a vessel of constant volume 0.210 m3. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 13.0 kJ of thermal energy is supplied to the gas. (a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. mol (b) Find the specific...

3.0 moles of an ideal gas with a molar heat capacity at constant volume of 4.9...

3.0 moles of an ideal gas with a molar heat capacity at constant volume of 4.9 cal/(mol·K) and a molar heat capacity at constant pressure of 6.9 cal/(mol·K) starts at 300 K and is heated at constant pressure to 320 K, then cooled at constant volume to its original temperature. How much heat flows into the gas during this two-step process?

An ideal monatomic gas is contained in a vessel of constant volume 0.350 m3. The initial...

An ideal monatomic gas is contained in a vessel of constant volume 0.350 m3. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 29.0 kJ of thermal energy is supplied to the gas. (a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. in mol (b) Find the...

An ideal gas has a constant volume specific heat cv as a function of temperature. Find...

An ideal gas has a constant volume specific heat cv as a function of temperature. Find the change in internal energy and enthalpy if the gas is heated from a temperature of 300K to 600K. cv(T) = 716.66 + 0.4T + 0.000667T2 J/kg.K Also, sketch the constant pressure specific heat as a function of temperature and mention the point T = 400K on the cp – T diagram. Assume that the gas constant of the given ideal gas is 286.9...

What is the ideal gas law constant?

What is the ideal gas law constant?please give details.

An ideal, 1-atom gas with a constant amount of substance expands slowly and reversibly from volume...

An ideal, 1-atom gas with a constant amount of substance expands slowly and reversibly from volume V1 to volume V2. At the same time, the pressure drops so that P (V) is a linear function of the volume. The starting permit is given as: V1 = 22.0 liters, P1 = 399,000 Pa The final state is given as: V2 = 32.0 liters, P2 = 299,000 Pa The amount of substance n = 1.00 mol a) Determine the expression and values...

Use critical temperature and pressure for oxygen gas to determine critical molar volume assuming a) ideal...

Use critical temperature and pressure for oxygen gas to determine critical molar volume assuming a) ideal gas L/mole b) van der Waals gas L/mole c) Redlich-Kwong gas L/mole

Develop a procedure to determine the ideal gas law constant R from: NaHCO3 (s) + CH3COOH...

Develop a procedure to determine the ideal gas law constant R from: NaHCO3 (s) + CH3COOH (aq)--> NaCH3COO (aq) + CO2(g) + H20 (l) so that different amounts of CO2 will be produced and collected from NaHCO3 powder and ~0.5 mol/L CH3COOH solution and the following equipment: test tubes, small vials, stopper, tubing, water trough, graduated cylinders, and erlemeyer flasks. Please help!

Which of these increases the average kinetic energy of the molecules in an ideal gas? (a) Reducing the volume, keeping P and N constant (b) Increasing the volume, keeping P and N constant

Which of these increases the average kinetic energy of the molecules in an ideal gas? (a) Reducing the volume, keeping P and N constant (b) Increasing the volume, keeping P and N constant (c) Reducing the volume, keeping T and N constant (d) Increasing the pressure, keeping T and V constant (e) Increasing N, keeping V and T constant

Question