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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET 2013 · Physics · Kinetic Theory of Gases

The amount of heat energy required to raise the temperature of 1 g...

The amount of heat energy required to raise the temperature of 1 g of helium at NTP, from T1 KT_1 \mathrm{~K} to T2 KT_2 \mathrm{~K} is

Options

  1. A38N2KB(T2−T1)\frac{3}{8} N_2 K_B\left(T_2-T_1\right)
  2. B32N2KB(T2−T1)\frac{3}{2} N_2 K_B\left(T_2-T_1\right)
  3. C34N2KB(T2−T1)\frac{3}{4} N_2 K_B\left(T_2-T_1\right)
  4. D34N2KB(T2T1)\frac{3}{4} N_2 K_B\left(\frac{T_2}{T_1}\right)

Correct answer

A. 38N2KB(T2−T1)\frac{3}{8} N_2 K_B\left(T_2-T_1\right)

Step-by-step solution

We know that Q=F2nRΔT∴Q=\frac{F}{2} n R \Delta T \therefore Amount of heat required, Q=32×14×KBNBΔT=38NBKB(T2−T1)\begin{aligned} Q & =\frac{3}{2} \times \frac{1}{4} \times K_B N_B \Delta T \\ & =\frac{3}{8} N_B K_B\left(T_2-T_1\right) \end{aligned}
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