Bissoy.com
Doctors Medicines MCQs Q&A

A stainless steel chamber contains Ar gas at a temperature T and pressure P. The total number of Ar atoms in the chamber is n. Now Ar gas in the chamber is replaced by CO2 gas and the total number of CO2 molecules in the chamber is n/2 at the same temperature T. The pressure in the chamber now is P’. Which one of the following relations holds true? (Both the gases behave as ideal gases)

A stainless steel chamber contains Ar gas at a temperature T and pressure P. The total number of Ar atoms in the chamber is n. Now Ar gas in the chamber is replaced by CO2 gas and the total number of CO2 molecules in the chamber is n/2 at the same temperature T. The pressure in the chamber now is P’. Which one of the following relations holds true? (Both the gases behave as ideal gases) Correct Answer P’ = P/2

CONCEPT:

  • Ideal gas: It is a hypothetical gas, consisting of molecules that are having negligible volume and their collision is perfectly elastically (means no loss of energy) and obeys gas law.
  • The properties of an ideal gas are:
    • They are having negligible volume, point size molecules.
    • There is no attractive or repulsive force between the particles of gas
    • The collision between the gases and the walls of the container should be perfectly elastic (there is no loss of energy).
  • The Equation of State is an equation that connects all the state variables of a system.

The Equation of State for an ideal gas is given by:

⇒ PV= μRT

Where μ is the number of moles of gas, Pressure(P), Temperature(T), and Volume(V) is the state variables, R is the gas constant.

EXPLANATION:

  • Both Ar and CO2 are ideal gases. So we will apply the ideal gas equation.
  • For Ar – the temperature is T, the pressure is P and the number of molecules is n, and volume (V) is the same for both the gases.
  • Use the ideal gas equation:

⇒ PV = nRT        ---- (1)

  • For CO2 – The temperature is T, Pressure is P’, the number of molecules is n/2, and Volume (V)
  • Apply the Ideal gas equation: 

⇒ P’V = (n/2) RT        ---- (2)

Equation (2) divided by (1):

⇒ P’/P = n/2

⇒ P’ = P/2

Related Questions

All the forms of matter except gases emit electromagnetic radiation continuously. The gases which electrically or thermally excited emit a certain wavelength only, then which of the following is/are true about the process (i) The spacing between the atoms in the other forms of matter is high than in gas (ii) The spacing between the atoms in gases is high than the other forms of matter (iii) The energy of the emitted radiation depends on the spacing between the atoms (iv) The wavelength of the emitted radiation depends on the spacing between the atoms 
The highest pressure gas of a mixture has partial pressure p, the partial pressure of other gases decreases by factor of 2n-1, the partial pressure of second gases decreases by a factor of 2, partial pressure of third gas increases by 4, and so on, if the total pressure of gas mixture is 31p/16, how many gases are present in the mixture?
Facts related to public relations are given below
1. Internal relations
2. Customer relations
3. Concept of public relations
4. Internal coordination
Which of the above given is/are types of public relations?
Consider a system of N atoms of an ideal gas of type A at temperature T and volume V. It is kept in diffusive contact with another system of N atoms of another ideal gas of type B at the same temperature T and volume V. Once the combined system reaches equilibrium,
Three companies L, M, and N participated in campus recruitment in college Z. All three companies selected an equal number of candidates. Out of the total candidates selected, 60 were selected by both L and M. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got selected by each L, M and N companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 92% less than a total number of candidates selected. The total number of students that got placed in exactly one company was what percent more than the ones that got placed in exactly two companies?
Consider the following statement: 1) In an ideal gas, there are no intermolecular forces of attraction and repulsion. 2) At very low pressure, all gases and vapours approach ideal gas behaviour. 3) Enthalpy of an ideal gas depends only on temperature. Which of the above statements are correct?
Consider the following statements.
1. A real gas can be approximated as an ideal gas when it is highly dilute.
2. Only monoatomic gases can be approximated as ideal gases.
3. An ideal gas does not undergo phase transitions.
Which of the above statements are correct?
Stainless steel A has a stacking fault energy of 8 mJ.m-2 and stainless steel B has a stacking fault energy of 45 mJ. m-2. The correct statement out of the following are.
P. A will have a wider stacking faults than B
Q. A will strain harden more rapidly than B
R. A and B will develop similar type of substructure
S. A and B will have the same temperature dependence of flow stress.
দুটি এক-পরমাণুক আদর্শ গ্যাস পরস্পরের সাথে তাপীয় সাম্যাবস্থায় আছে। A গ্যাস m ভরের অণু দ্বারা গঠিত, এবং B গ্যাস 4m ভরের অণু দ্বারা গঠিত। A গ্যাসের আয়তন ৪ গ্যাসের আয়তনের দ্বিগুণ। এদের চাপের অনুপাত PA / PB কত? (Two monoatomic ideal gases are in thermal equilibrium with each other. Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m. The volume of gas A is twice that of gas B. What it the ratio of their pressures PA / PB ?)
Which of the following statements are correct? a. HF and H2O are polar molecules. b. CH4 and CO2 are non-polar molecules. c. CO2 and SO2 are non-polar molecules.