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

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 : (A)  (3/4) Na kB ( (T2/T1) ) (B)  (3/8) Na kB ( T2 - T1 ) (C)  (3/2) Na kB ( T2 - T1 ) (D)  (3/4) Na kB ( T2 - T1 )

Tardigrade Admin · Accepted Answer

Number of moles in1g He = (1/4) Amount of heat energy required to raise its temepratre from T1K to T2K = nCv Δ T = ( (1/4)) ( (3/2) R) (T2 - T1) = (3/8) kBNA(T2 - T1)

Q. 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 :

$\frac{3}{4} N_{a} k_{B} (\frac{T _{2}}{T _{1}})$

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

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

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

Number of moles in $1 g He = \frac{1}{4}$
Amount of heat energy required to raise its temepratre from $T_{1} K t o T_{2} K$
$= n C_{v} Δ T$
$= (\frac{1}{4}) (\frac{3}{2} R) (T_{2} - T_{1})$
$= \frac{3}{8} k_{B} N_{A} (T_{2} - T_{1})$

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

43​Na​kB​(T1​T2​​)

83​Na​kB​(T2​−T1​)

23​Na​kB​(T2​−T1​)

43​Na​kB​(T2​−T1​)