An engine manufacturer makes the following claims: The heat input per second of the engine is 90.0 kJ at 375 K. The heat output per second is 4.0 kJ at 225 K. Do you believe these claims?
To determine if the claims made by the engine manufacturer are believable, we can apply the principle of energy conservation. According to this principle, the heat input to a system should be equal to the heat output plus any work done by the system.
In this case, the heat input per second is stated to be 90.0 kJ at a temperature of 375 K, while the heat output per second is given as 4.0 kJ at 225 K.
To compare these values, we need to convert the temperatures to their absolute scales (Kelvin). This can be done by adding 273 to the given temperatures:
Heat input temperature = 375 K
Heat output temperature = 225 K
Now, let's calculate the ratio of the heat output to the heat input:
Heat output ratio = Heat output / Heat input
= 4.0 kJ / 90.0 kJ
= 0.044
So, the heat output ratio is 0.044 (rounded to three decimal places).
Based on this ratio, we can conclude that the claims made by the engine manufacturer are not believable. A typical engine should have a higher heat output compared to its heat input in order to perform work efficiently. However, in this case, the heat output ratio is extremely low, indicating a significant energy loss or inefficiency in the engine.