One mole of an ideal monoatomic gas is heated at a constant press

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 Multiple Choice QuestionsMultiple Choice Questions

91.

At what temperature will the rms speed of air molecules be double that NTP ?

  • 519° C

  • 619° C

  • 719° C

  • 819° C


92.

The equation of state for n moles of an ideal gas is pV = nRT, where R is a constant. The SI unit for R is

  • Jk-1 per molecule

  • JK-1 mol-1

  • JKg-1K-1

  • Jk-1g-1


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93.

One mole of an ideal monoatomic gas is heated at a constant pressure from 0°C to 100°C. Then the change in the internal energy of the gas is (Given, R = 8.32 J mol-1 K-1)

  • 0.83 × 103 J

  • 4.6 × 103 J

  • 2.08 × 103 J

  • 1.25 × 103 J


D.

1.25 × 103 J

We know that ΔU = nCvΔT

where,   ΔT = (T2 − T1)

             T1 = 0°C = 273 K

             T2 = 100°C = 373 K

              n = 1 (monoatomic gas)

 R = 8.32 J mol-1K-1 = 1 × 32R × (373 - 273)    = 1 × 32 × 8.32 × 100 = 3 × 8.32 × 50    = 1248 kJor = 1.25 × 103 J


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94.

The rms speed of oxygen is v at a particular temperature. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed becomes

  • v

  • 2 v

  • 2 v

  • 4 v


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