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skrat
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Using Carnot heat engine we connect two objects with the same mass m, specific heat capacities c. At the beginning the body 1 has temperature [itex]T_{1}[/itex] and body 2 [itex]T_{2}[/itex]. Calculate:
a) How much mechanical work can this engine give?
I tried like this, but i believe this is very wrong :(
[itex]dW=-\eta_{c}Q=(1-\frac{T}{T_{1}})mcdT[/itex]
[itex]\int_{0}^{W}dW=-\int_{T_{2}}^{T}(1-\frac{T}{T_{1}})mcdT[/itex]
[itex]W=(T_{2}+\frac{T_{1}}{2}(T^{2}-\frac{T^{2}_{2}}{2})-T)[/itex]
Can anybody please help me to calculate this the right way?
Thanks!
a) How much mechanical work can this engine give?
I tried like this, but i believe this is very wrong :(
[itex]dW=-\eta_{c}Q=(1-\frac{T}{T_{1}})mcdT[/itex]
[itex]\int_{0}^{W}dW=-\int_{T_{2}}^{T}(1-\frac{T}{T_{1}})mcdT[/itex]
[itex]W=(T_{2}+\frac{T_{1}}{2}(T^{2}-\frac{T^{2}_{2}}{2})-T)[/itex]
Can anybody please help me to calculate this the right way?
Thanks!
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