The partition function of an ensemble at a temperature t is z=(2cosh , where kb is boltzmann constant. the heat capacity of this ensemble at t= is xn , where the value of x is (up to two decimal places)
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The partition function is an important quantity in statistical mechanics which encodes the statistical properties of a system in thermodynamic equilibrium. This equation is particular to the canonical ensemble, that is the ensemble in which the system of interest is allowed to exchange heat with its surrounding environment, with a fixed temperature, volume and number of particles. There is also the grand canonical ensemble, in which the system can exchange heat and particles with the environment, with a fixed temperature, volume and chemical potential. The partition function for this ensemble is
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