Q.

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

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a

34NakBT2−T1

b

34NakBT2T1

c

38NakBT2−T1

d

32NakBT2−T1

answer is C.

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Detailed Solution

As here volume of the gas remains constant, therefore the amount of heat energy required to raise the temperature of the gas is ΔQ=nCvΔTHere, Number of moles, n=14CV=32R        ∵  He  is  a  monatomic ΔT=T2−T1 ∴  ΔQ=1432RT2−T1 =38NakBT2−T1               ∵kB=RNa
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The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T1K to T2K is