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

• 519° C

• 619° C

• 719° C

• 819° C

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

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

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

• $\sqrt{2} \mathrm{v}$

• 2 v

• 4 v