Q.

If Heat is added at constant volume, 6300 J of heat are required to raise the temperature of an ideal gas by 150 K. If instead, heat is added at constant pressure, 8800 joules are required for the same temperature change. When the temperature of the gas changes by 300K, the internal energy of the gas changes by

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a

5000 J

b

12600 J

c

17600 J

d

22600 J

answer is B.

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Detailed Solution

ΔU=nCVΔT Given6300=ΔUi=nCv(150)---(1)ΔU=nCV300---(2)divide (2) by (1) we get so,  ΔU=6300150×300ΔU=12600J
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If Heat is added at constant volume, 6300 J of heat are required to raise the temperature of an ideal gas by 150 K. If instead, heat is added at constant pressure, 8800 joules are required for the same temperature change. When the temperature of the gas changes by 300K, the internal energy of the gas changes by