Answer:
Machine used 392 MJ energy as mechanical energy.
Explanation:
Efficiency(e) is defined as the ratio of the work done by the machine to the energy provided to the machine.
[tex]e = \frac{Energy\ Used}{Energy\ Given}[/tex] .....(1)
The efficiency of the machine is also given by the relation :
[tex]e = 1 - \frac{T_{low} }{T_{high} }[/tex] .....(2)
Here T(low) and T(high) denotes the temperature in kelvin.
According to the problem, T(low) = 35⁰ C = 35 + 273 = 308 K
T(high) = 330⁰ C = 330 +273 = 603 K
Substitute the values of T(low) and T(high) in the equation (2).
[tex]e = 1 - \frac{308 }{603 }[/tex]
[tex]e = 1 - 0.51[/tex]
e = 0.49
According to the problem, Energy Given = 800 MJ
Substitute the value of efficiency(e) and Energy Given in the equation (1).
[tex]0.49 = \frac{Energy\ Used}{800 MJ}[/tex]
Energy used = 0.49 x 800 MJ = 392 MJ
