The temperature of a gas is -50^ C. To what temperature the gas should be heated, so that the rms speed is increased by 3 times? [NEET 2022]

Question

Accepted Answer

Correct answer: A. (a) Initial temperature of the gas, T_1=-50^ C= (-50+273 )K=223 K Final temperature of the gas, T_2= ? Now, the rms speed should be increase by 3 times ∴ Final (V_ rms )=V+3V=4 (V_ rms ) initial ) We know that, v_ rms= 3 RTm ⇒v_ rms ∝ T ⇒ (v_ rms )_2 (v_ rms )_1= T_2T_1 ⇒ 4vv= T_2223 ⇒16= T_2223 ⇒T_2=3568 K or 3295^ C

$The temperature of a gas is - 50^{\circ} C . To what temperature the gas should be heated, so that the rms speed is increased by 3 times? [NEET 2022]$

Solution

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