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))

4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity

1.	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» `8.5 "JK"^(-1) "MOL"^(-1)` `8.0 "JK"^(-1) "mol"^(-1)` `7.5 "JK"^(-1) "mol"^(-1)` `7.0 "JK"^(-1) "mol"^(-1)` Solution :VELOCITY of SOUND , `v=sqrt((gammaRT)/M)` `therefore gamma=(mv^2)/(RT)` `=(4xx10^(-3)xx(952)^2)/(8.3xx273)` `=3625.2/2265.9` `therefore gamma=1.599` `therefore gamma approx` 1.6 `therefore` The HEAT capacity at constant pressure , `C_P=gammaC_V=1.6xx5.0=8.0 "JK"^(1) "mol"^(-1)`