To what temperature should be the hydrogen at 327°C be cooked at constant pressure so that the root mean square velocity of its molecules becomes half of its previous value(a) –123°C(b) 120°C(c) –100°C(d) 0°C
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Dear Student,
◆ Answer -
(a) −123 ℃
● Explanation -
RMS velocity of hydrogen is given by formula -
v = √(3kT/M)
v = (√3k/M) √T
At temperature 327 °C = 600 K,
v = (√3k/M) √600
At half the previous velocity,
v' = v/2
(√3k/M) √T' = (√3k/M) √600 / 2
(√3k/M) √T' = (√3k/M) √150
T' = 150 K
T' = 150 - 273 ℃
T' = −123 ℃
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