How much heat energy in joules must be supplied

Asked by admin @ 17/08/2021 in Physics viewed by 293 People

The heat energy in joules must be supplied to

14gms of nitrogen at room temperature torise its temperature by 40°C at constantpressure is (Mol.wt.of N, =28gm, R=universalgas constant)1) 50R 2) 60R 3) 70R 4) 80R

Answered by admin @ 17/08/2021

Given :

m = 14g
∆ T = 40°C
M = 28

Solution :

Number of moles

$\bf n = \frac{m}{M} = \frac{ 14}{28} = 0.5$

Molar specific heat at constant pressure for nitrogen

$\bf C_p = \frac{7}{2} r$

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

$\bfΔQ=n C_p ΔT \\ \\ \bf 0.5× \frac{ 7}{7}R×40=70R$

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