Question

Find the ratio of the speed of sound in nitrogen gas to that of helium gas, at 300 k is

Answer 1

V= γRTM‾‾‾‾√ VHe = γHeRTMHe ‾‾‾‾‾‾‾√ and VN2 = γN2RTMN2‾‾‾‾‾‾√ [γHe= 53 ] and [γN2 = 75 ]THe = 300K , MHe = 4 and MN2 = 14, TN2=500 KVN2VHe = γN2MHeTN2γHeMN2THe‾‾‾‾‾‾‾‾‾√ =5×4×5×5003×7×14×300‾‾‾‾‾‾‾‾‾‾√ =25×2×53×7×7×3‾‾‾‾‾‾‾√VN2VHe =52110‾‾‾√