Engineering Thermodynamics
Otto cycle efficiency is higher than Diesel cycle efficiency for the same compression ratio and heat input because in Otto cycle

Expansion and compression are isentropic
Heat rejection is lower
Combustion is at constant volume
Maximum temperature is higher

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Engineering Thermodynamics
First law of thermodynamics

Provides relationship between heat, work and internal energy
All of these
Enables to determine change in internal energy of the system
Does not enable to determine change in entropy

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