| A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature\[27{}^\circ C\]. Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about: [JEE Main 09-Jan-2019 Evening] |
| [Take\[\,R=8.3\] J/K mole] |
A) 10 J
B) 0.9 kJ
C) 14 kJ
D) 6 kJ
Correct Answer: A
Solution :
| [a] To double the rms speed, temp is increased to 4 times |
| \[{{T}_{1}}=300\,K\] |
| \[{{T}_{2}}=300\times 4=1200\text{ }K\] |
| \[\Delta \,T=1200-300=900\text{ }K\] |
| \[Q\,\,=\,\,n{{C}_{V}}\Delta T\,=\,\frac{15}{28}\,\times \frac{5}{2}\,\,\times \,\,R\,\,\times \,\,900\] |
| \[Q=10\,KJ\] |
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