The modulation scheme used determines how many bits can be send in a symbol and considering the FEC used will determine the data rate to main a specified Bit Error Rate (BER). Higher the data rate there may be less queuing delay and thereby the latency may be a bit reduced.
The Lifetime of a WSN is dependent on many factors which includes power transmission requirements i.e. how much power the node uses to send a specified data. Moreover packet length is also related as it determines the Packet Error Rate. Larger the packet length more possibility for packet corruption for a specified BER... however there are other things driving that. the CRC and other correcting codes.
The WSN lifetime moreover, depends on many other factors like the protocols used in the different layers of the WSN stack. The Cluster Head Selection logic, the Routing mechanism, the placement of the nodes and some people use a ON/OFF strategy for transmission. The lifetime of WSN is a wide research area and dependent on many factors even the location of Relay Nodes specifically introduced to relay packets and their distribution density contributes to the lifetime of WSN.
Thanks for your reply. Your concept is better understood but sir i need a mathematical relationship for calculation and comparisons for different values of 'b' and 's'.