Solved: PHYSICS Question for NEET

NEET PHYSICSMedium

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?

$669^{\circ}$ C

$3295^{\circ}$ C

$3097$ K

$223$ K

Step-by-Step Solution

$v_{rms} \propto \sqrt{T}$ . If $v_{rms}$ increases by 3 times, final speed $v_f = 4v_i$ . Thus $T_f = 4^2 T_i = 16 T_i$ . Initial $T_i = -50 + 273 = 223$ K. $T_f = 16 \times 223 = 3568$ K. In Celsius, $3568 - 273 = 3295^{\circ}$ C.

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