Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Thermodynamics

Question:

The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T1 K to T2 K is : 

Options:

\(\frac{3}{4} N_a k_B \frac{T_2}{T_1}\)

\(\frac{3}{8} N_a k_B (T_2 - T_1)\)

\(\frac{3}{2} N_a k_B (T_2 - T_1)\)

\(\frac{3}{4} N_a k_B (T_2 - T_1)\)

Correct Answer:

\(\frac{3}{8} N_a k_B (T_2 - T_1)\)

Explanation:

Number of moles in 1 g He = \(\frac{1}{4}\)

Amount of heat energy required to raise its temperature from T1K to T2K : Q = mc\(\Delta\) T

For monoatomic gas : CV = \(\frac{3}{2}R\)

Q = \((\frac{1}{4}) (\frac{3}{2}R) (T_2 - T_1)\)

   = \(\frac{3}{8} N_a k_B (T_2 - T_1)\)