The heat energy that must be supplied to 14 g of nitrogen at room temperature to raise its temperature by 48° C at constant pressure is ( R = gas constant, Molecular weight of nitrogen (N₂) = 28) (a) 72R (b) 84R (c) 96R (d) 108R

Answer: (b). n = 14/28 = 0.5 mol; diatomic Cp = 7/2R. Q = nCpΔ T = 0.5 × 7/2R × 48 Q = 84R, so the answer is (b).

The heat energy that must be supplied to 14 g of nitrogen at room… | MHT CET 2026 (17 Apr, Shift 1)

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Thermodynamic Processes

The heat energy that must be supplied to 14 g of nitrogen at room temperature to raise its temperature by $48^\circ$ C at constant pressure is ( $R$ = gas constant, Molecular weight of nitrogen $(\text{N}_2)$ = 28)

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Answer: (b)

$n = \dfrac{14}{28} = 0.5$ mol; diatomic $C_p = \dfrac{7}{2}R$ .
$Q = nC_p\Delta T = 0.5 \times \dfrac{7}{2}R \times 48$
$Q = 84R$ , so the answer is (b).

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