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Heat and Thermodynamics question

2013 · Q155
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Heat and Thermodynamics question

2013 · Q155

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T1K to T2K is
  1. A
    34NakB(T2−T1){3 \over 4}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)43​Na​kB​(T2​−T1​)
  2. B
    34NakB(T2T1){3 \over 4}{N_a}{k_B}\left( {{{{T_2}} \over {{T_1}}}} \right)43​Na​kB​(T1​T2​​)
  3. C
    38NakB(T2−T1){3 \over 8}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)83​Na​kB​(T2​−T1​)
  4. D
    32NakB(T2−T1){3 \over 2}{N_a}{k_B}\left( {{T_2} - {T_1}} \right)23​Na​kB​(T2​−T1​)
View written solutionFree

Correct answer: C

From first law of thermodynamics

ΔQ=ΔU+ΔW=32.14R(T2−T1)+0\Delta Q = \Delta U + \Delta W = {3 \over 2}.{1 \over 4}R\left( {{T_2} - {T_1}} \right) + 0ΔQ=ΔU+ΔW=23​.41​R(T2​−T1​)+0

=38NaKB(T2−T1) = {3 \over 8}{N_a}{K_B}\left( {{T_2} - {T_1}} \right)=83​Na​KB​(T2​−T1​)    [∵K=RN]\left[\because{K = {R \over N}} \right][∵K=NR​]

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