Heat and Thermodynamics 4 Question 16

18. The temperature of an open room of volume 30m3 increases from 17C to 27C due to the sunshine. The atmospheric pressure in the room remains 1×105Pa. If ni and nf are the number of molecules in the room before and after heating, then nfni will be

(2017 Main)

(a) 1.38×1023

(b) 2.5×1025

(c) 2.5×1025

(d) 1.61×1023

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Solution:

  1. From pV=nRT=NNART

We have, nfni=pVNARTfpVNARTi

nfni=105×308.3×6.02×1023(13001290)

=2.5×1025

Δn=2.5×1025



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