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QNEET-2013-Ph-1524: NEET 2013 Physics - Class 11 NEET-2013-Ph-1524 Solution: The amount of heat energy required to raise the temperature of…

The amount of heat energy required to raise the temperature of 1 g of Helium at NTP from

T_1

K to

T_2

K is

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

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

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

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

A ${3 \over 4}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)$ 4 3 _ N a _ k B _ ( T 2 _ _ T 1 _ )
B ${3 \over 4}{N_a}{k_B}\left( {{{{T_2}} \over {{T_1}}}} \right)$ 4 3 _ N a _ k B _ ( T 1 _ T 2 _ _ )
C ${3 \over 8}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)$ 8 3 _ N a _ k B _ ( T 2 _ _ T 1 _ )
D ${3 \over 2}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)$ 2 3 _ N a _ k B _ ( T 2 _ _ T 1 _ )

Step-by-Step Verified Solution

From first law of thermodynamics _ Q = _ U + _ W = 3 2 . 1 4 R ( T 2 _ T 1 ) + 0 = 3 8 N a K B ( T 2 _ T 1 ) [ _ K = R N ]