PYQ Vault
EbooksTutor

Gas compressed adiabatically to a fraction of its volume (or density raised): final pressure

The same question, asked 5 times: 9 May 2024 S1*, 9 May 2024 S2*, 14 May 2024 S2*, 23 Apr 2025 S1*, 15 Apr 2026 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2024 S1

    21
    A gas at N.T.P. is suddenly compressed to 14\frac{1}{4}th of its original volume. The final pressure in atmosphere is (Given γ=\gamma= ratio of sp. heats =32=\frac{3}{2}) (P=P= original pressure)

    Tap an option to check your answer.

  2. Question 2

    9 May 2024 S2

    24
    A gas at N.T.P. is suddenly compressed to one-fourth of its original volume. If γ=1.5\gamma = 1.5, then the final pressure is

    Tap an option to check your answer.

  3. Question 3

    14 May 2024 S2

    29
    The pressure and density of a diatomic gas (γ=75)\left(\gamma = \frac{7}{5}\right) changes adiabatically from (P,ρ)(P, \rho) to (P′,ρ′)(P', \rho'). If ρ′ρ=32\frac{\rho'}{\rho} = 32 then P′P\frac{P'}{P} should be

    Tap an option to check your answer.

  4. Question 4

    23 Apr 2025 S1

    30
    A polyatomic gas is compressed to (18)th \left( \frac{1}{8} \right)^{\text{th~}} of its volume adiabatically. If its initial pressure is P0P_{0}, its new pressure will be [Given, CpCv=43\frac{C_{p}}{C_{v}}=\frac{4}{3} ]

    Tap an option to check your answer.

  5. Question 5

    15 Apr 2026 S1

    116
    A monoatomic gas is stored in a thermally insulated container and the gas is suddenly compressed to (18)th\left(\dfrac{1}{8}\right)^{th} of its initial volume. The ratio of final pressure to initial pressure is

    Tap an option to check your answer.