What amount of heat must be supplied to 2.0 × 10–2 kg of nitrogen

1.	What amount of heat must be supplied to 2.0 × 10–2 kg of nitrogen (at room temperature) to raise its temperature by 45 °C at constant pressure? (Molecular mass of N2 = 28; R = 8.3 J mol–1 K–1.)
Answer» Answer: Mass of nitrogen, m = 2.0 × 10–2 kg = 20 g Rise in temperature, ΔT = 45°C Molecular mass of N2, M = 28 Universal gas constant, R = 8.3 J mol–1 K–1 Number of moles, n = m/M = (2 × 10-2 × 103) / 28 = 0.714 Molar specific heat at constant pressure for nitrogen, Cp = (7/2)R = (7/2) × 8.3 = 29.05 J mol-1 K-1 The total AMOUNT of heat to be supplied is given by the relation: ΔQ = NCP ΔT = 0.714 × 29.05 × 45 = 933.38 J Therefore, the amount of heat to be supplied is 933.38 J.

What amount of heat must be supplied to 2.0 × 10–2 kg of nitrogen (at room temperature) to raise its temperature by 45 °C at constant pressure? (Molecular mass of N2 = 28; R = 8.3 J mol–1 K–1.)

Answer»

Answer:

Mass of nitrogen, m = 2.0 × 10–2 kg = 20 g

Rise in temperature, ΔT = 45°C

Molecular mass of N2, M = 28

Universal gas constant, R = 8.3 J mol–1 K–1

Number of moles, n = m/M

= (2 × 10-2 × 103) / 28

= 0.714

Molar specific heat at constant pressure for nitrogen, Cp = (7/2)R

= (7/2) × 8.3

= 29.05 J mol-1 K-1

The total AMOUNT of heat to be supplied is given by the relation:

ΔQ = NCP ΔT

= 0.714 × 29.05 × 45

= 933.38 J

Therefore, the amount of heat to be supplied is 933.38 J.

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What amount of heat must be supplied to 2.0 × 10–2 kg of nitrogen (at room temperature) to raise its temperature by 45 °C at constant pressure? (Molecular mass of N2 = 28; R = 8.3 J mol–1 K–1.)​

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What amount of heat must be supplied to 2.0 × 10–2 kg of nitrogen (at room temperature) to raise its temperature by 45 °C at constant pressure? (Molecular mass of N2 = 28; R = 8.3 J mol–1 K–1.)