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4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 "JK"^(-1) "mol"^(-1). If the speed of sound in this gas at NTP is 952 "ms"^(-1) , then the heat capacity at constant pressure is _____ (R=8.3 "JK"^(1) "mol"^(-1))

Answer» <html><body><p>`8.5 "JK"^(-1) "<a href="https://interviewquestions.tuteehub.com/tag/mol-1100196" style="font-weight:bold;" target="_blank" title="Click to know more about MOL">MOL</a>"^(-1)` <br/>`8.0 "JK"^(-1) "mol"^(-1)` <br/>`7.5 "JK"^(-1) "mol"^(-1)` <br/>`7.0 "JK"^(-1) "mol"^(-1)` </p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/velocity-1444512" style="font-weight:bold;" target="_blank" title="Click to know more about VELOCITY">VELOCITY</a> of <a href="https://interviewquestions.tuteehub.com/tag/sound-648690" style="font-weight:bold;" target="_blank" title="Click to know more about SOUND">SOUND</a> , <br/> `v=sqrt((gammaRT)/M)` <br/> `therefore gamma=(mv^2)/(<a href="https://interviewquestions.tuteehub.com/tag/rt-615359" style="font-weight:bold;" target="_blank" title="Click to know more about RT">RT</a>)` <br/> `=(4xx10^(-3)xx(952)^2)/(8.3xx273)` <br/> `=3625.2/2265.9` <br/> `therefore gamma=1.599` <br/> `therefore gamma approx` 1.6 <br/>`therefore` The <a href="https://interviewquestions.tuteehub.com/tag/heat-21102" style="font-weight:bold;" target="_blank" title="Click to know more about HEAT">HEAT</a> capacity at constant pressure , <br/> `C_P=gammaC_V=1.6xx5.0=8.0 "JK"^(1) "mol"^(-1)`</body></html>


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