Thermodynamics

Question : 2

Total: 10

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=8.3Jmol–1K–1.)

Solution:

Mass of nitrogen gas, m=2×10−2kg=20 g
Molecular mass of nitrogen gas =28 g
Rise in temperature, ΔT=45°C
Heat supplied = ?
Number of moles n=

For nitrogen (N2) which is a diatomic gas, molar specific heat at constant pressure
Cp=

R where R=8.3Jmol−1K−1
Therefore, heat supplied to the gas
ΔQ=nCpΔT
=

×R×45
=

×8.3×45
=933.8 J≈934 J

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