Repeat Prob. 7–57, except let the speed of sound c in an ideal gas be a function of absolute temperature T, universal ideal gas constant R_u, molar mass (molecular weight) M of the gas, and ratio of specific heats k. Showing all your work, use dimensional analysis to find the functional relationship between these parameters.

Data from Problem 7-57

The speed of sound c in an ideal gas is known to be a function of the ratio of specific heats k, absolute temperature T, and specific ideal gas constant R_gas (Fig. P7–57). Showing all your work, use dimensional analysis to find the functional relationship between these parameters.

Fig. P7–57

Transcribed Image Text:

k, T, R gas