SATHEE: Kinetic Theory - Result Question 29

Kinetic Theory - Result Question 29

29. 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

[2013]

(a) $\frac{3}{2} N_{a} k_{B} (T_{2} - T_{1})$

(b) $\frac{3}{4} N_{a} k_{B} (T_{2} - T_{1})$

(d) $\frac{3}{8} N_{a} k_{B} (T_{2} - T_{1})$

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Answer:

Correct Answer: 29. (d)

Solution:

(d) From first law of thermodynamics,

$Δ Q = Δ U + Δ W = \frac{3}{2} \cdot \frac{1}{4} R (T_{2} - T_{1}) + 0$

$= \frac{3}{8} N_{a} K_{B} (T_{2} - T_{1}) [∵ K = \frac{R}{N}]$

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Kinetic Theory - Result Question 29

29. The amount of heat energy required to raise the temperature of 1g of Helium at NTP, from T1K to T2K is

Answer:

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29. 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