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 300 K. the internal energy of the gas changes by

Question

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 300 K. the internal energy of the gas changes by (A) 5000 J (B) 12600 J (C) 17600 J (D) 22600 J

Tardigrade Admin · Accepted Answer

Δ U = nC V Δ T Given 6300=Δ U i = nC v (150) So, Δ U=(6300/150) × 300 Δ U=12600

5000 J

12600 J

17600 J

22600 J

ΔU=nCV​ΔT Given 6300=ΔUi​=nCv​(150) So, ΔU=1506300​×300 ΔU=12600

$Δ U = n C_{V} Δ T$
Given
$6300 = Δ U_{i} = n C_{v} (150)$
So, $Δ U = \frac{6300}{150} \times 300$
$Δ U = 12600$