How much heat energy in joules must be supplied to 14 gms of nitrogen at room temperature to raise its temperature by 400C at constant pressure ? (Mol. wt. of N2 = 28 gm, R = constant)

# How much heat energy in joules must be supplied to 14 gms of nitrogen at room temperature to raise its temperature by 400C at constant pressure ? (Mol. wt. of N2 = 28 gm, R = constant)

1. A

50R

2. B

60R

3. C

70R

4. D

80R

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### Solution:

$\begin{array}{l}{\mathrm{dQ}}_{\mathrm{p}}={\mathrm{nc}}_{\mathrm{p}}\mathrm{dT}\\ =\frac{\mathrm{m}}{\mathrm{M}}\cdot {\mathrm{c}}_{\mathrm{p}}\mathrm{dT}=\frac{14}{28}×\frac{7}{2}\mathrm{R}\cdot \left(40\right)=70\mathrm{R}\end{array}$

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