The value of specific heat at constant volume is 0.723 kJ/kgK, if the density of gas at 27°C and 105 Nm-2 is 1.2 kg m−3, what is the specific heat at constant pressure?
1 k J/kg K
0.9 k J/kg K
0.8 k J/kg K
1.2 k J/kg K
as specific heat at constant volume =cv=0.723 kilo joule/kgK is given mass of gas is considered, unit doesnot has number of moles of gashence gas equation that need to be considered is PV=mrT ⇒r=PVmT---(1)Pressure is P=105Nm-2density =mass(m)volume(v)=1.2Kgm-3Temperature =27+273 kelvin=300K substitute above given values in equation (1)r=PVmT=1051.2 x 300=0.2777 kilo joule kg-1K-1 from difference of specific heatscp=cv+r---(2)given cv=0.723 kilo joule/kgK r=0.2777 kilo joule kg-1K-1 substitute above values in (2) equationcp=0.723+0.2777=1.007kJ kg-1K-1